1. The Evolution of Multi-Phase Modes for Nonlinear Dispersive Waves, M. J. Ablowitz and D. J. Benney, Stud. Appl. Math., 49, (1970), 225-238

2. Applications of Slowly Varying Nonlinear Dispersive Wave Theories, M. J. Ablowitz, Stud. Appl. Math., 50, (1971), 329-344

3. Approximate Methods for Obtaining Multi-Phase Modes in Nonlinear Dispersive Wave Problems, M. J. Ablowitz, Stud. Appl. Math, 51, (1972), 17-55

4. Semi-resonant Interactions and Frequency Dividers, M. J. Ablowitz and B. A. Funk and A. C. Newell, Stud. Appl. Math., 52, (1973), 51-74

5. The Decay of the Continuous Spectrum for the Korteweg-deVries Equation, M. J. Ablowitz and A. C. Newell, J. Math. Phys., 14, (1973), 1277-1284

6. Method of Solution for the Sine-Gordon Equation, M. J. Ablowitz and D. J. Kaup and A. C. Newell and H. Segur, Phys. Rev. Lett., 30, (1973), 1262-1264

7. Nonlinear Evolution Equations of Physical Significance, M. J. Ablowitz and D. J. Kaup and A. C. Newell and H. Segur, Phys. Rev. Lett., 31, (1973), 125-127

8. Coherent Pulse Propagation A Dispersive Irreversible Phenomenon, M. J. Ablowitz and D. J. Kaup and A. C. Newell, J. Math. Phys., 11, (1974), 1852-1858

9. The Inverse Scattering Transform--Fourier Analysis for Nonlinear Problems, M. J. Ablowitz and D. J. Kaup and A. C. Newell and H. Segur, Stud. Appl. Math., 53, (1974), 249-315

10. Nonlinear Differential-Difference Equations, M. J. Ablowitz and J. F. Ladik, J. Math. Phys., 16, (1975), 598-603

11. A Note on Resonance and Nonlinear Dispersive Waves, M. J. Ablowitz, Stud. Appl. Math, 54, (1975), 61-70

12. The Inverse Scattering Transform--Semi-Infinite Interval, M. J. Ablowitz and H. Segur, J. Math. Phys, 16, (1975), 1054-1056

13. Resonantly Coupled Nonlinear Evolution Equations, M. J. Ablowitz and R. Haberman, J. Math. Phys., 16, (1975), 2301-2305

14. Nonlinear Evolution Equations--Two and Three Dimensions, M. J. Ablowitz and R. Haberman, Phys. Rev. Lett., 35, (1975), 1185-1188

15. Asymptotic Solutions and Conservation Laws for the Nonlinear Schrödinger Equation I, H. Segur and M. J. Ablowitz, J. Math. Phys., 17, (1976), 710-713

16. Nonlinear Differential-Difference Equations and Fourier Analysis, M. J. Ablowitz and J. F. Ladik, J. Math. Phys., 17, (1976), 1011-1018

17. A Nonlinear Difference Scheme and Inverse Scattering, M. J. Ablowitz and J. F. Ladik, Stud. Appl. Math., 55, (1976), 213-229

18. On the Solution of a Class of Nonlinear Partial Differential Equations, M. J. Ablowitz and J. F. Ladik, Stud. Appl. Math., 57, (1977), 1-12

19. Nonlinear Evolution Equations--Continuous and Discrete, M. J. Ablowitz, SIAM Review, 19, (1977), 663-684

20. Asymptotic Solutions of the Korteweg-deVries Equation, M. J. Ablowitz and H. Segur, Stud. Appl. Math., 57, (1977), 13-44

21. Exact Linearization of a Painlevé Transcendent, M. J. Ablowitz and H. Segur, Phys. Rev. Lett., 38, (1977), 1103-1106

22. Solitons and Rational Solutions of Nonlinear Evolution Equations, M. J. Ablowitz and J. Satsuma, J. Math. Phys., 19, (1977), 2180-2186

23. Lectures on the Inverse Scattering Transform, M. J. Ablowitz, Stud. Appl. Math., 58, (1978), 17-94

24. Nonlinear Evolution Equations and Ordinary Differential Equations of Painlevé Type, M. J. Ablowitz and A. Ramani and H. Segur, Lett. al Nuovo Cimento, 23, (1978), 333-338

25. Note on Miura's Transformation, M. J. Ablowitz and M. D. Kruskal and H. Segur, J. Math. Phys, 20, (1979), 999-1003

26. On the Evolution of Packets of Water Waves, Ablowitz and H. Segur, J. Fluid Mech., 92, (1979), 691-715

27. Explicit Solutions of Fischer's Equations for a Special Wave Speed, M. J. Ablowitz and A. Zeppetella, Bulletin of Math. Bio., 41, (1979), 835-840

28. Transverse Instability of One-Dimensional Transparent Optical Pulses in Resonant Media, M. J. Ablowitz and Y. Kodama, Phys. Lett. A, 70, (1979), 83-86

29. Two-Dimensional Lumps in Nonlinear Dispersive Systems, J. Satsuma and M. J. Ablowitz, J. Math. Phys., 20, (1979), 1496-1503

30. Resonant Nonlinear Vibrations in Continuous Systems I, M. J. Ablowitz and A. Askar and A. S. Cakmak and H. Engin, Int. J. Nonlinear Mechanics, 14, (1979), 223-233

31. Resonant Nonlinear Vibrations in Continuous Systems II, H. Engin and M. J. Ablowitz and A. Askar and A. S. Cakmak, Int. J. Nonlinear Mechanics, 14, (1979), 235-246

32. On Solutions of the Korteweg-deVries Equation, M. J. Ablowitz and H. Cornille, Phys. Lett. A, 72, (1979), 277-280

33. On an Internal Wave Describing a Stratified Fluid with Finite Depth, J. Satsuma and M. J. Ablowitz and Y. Kodama, Phys. Lett. A, 73, (1979), 283-286

34. Solitary Wave Collisions, M. J. Ablowitz and M. D. Kruskal and J. F. Ladik, SIAM J. Appl. Math., 36, (1979), 428-437

35. A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P-Type I, M. J. Ablowitz and A. Ramani and H. Segur, J. Math. Phys., 21, (1980), 715-721

36. A Connection Between Nonlinear Evolution Equations and Ordinary Differential Equations of P-Type II, M. J. Ablowitz and A. Ramani and H. Segur, J. Math. Phys., 21, (1980), 1006-1015

37. Transverse Instability of Breathers in Resonant Media, Y. Kodama and M. J. Ablowitz, J. Math. Phys, 21, (1980), 928-931

38. A Comparison Between Finite Element Methods and Spectral Methods as Applied to Bound State Problems, M. Duff and H. Rabitz and A. Askar and A. Cakmak and M. J. Ablowitz, J. Chem. Phys., 72, (1980), 1543-1559

39. Long Internal Waves of Great Depth, M. J. Ablowitz and H. Segur, Stud. Appl. Math., 62, (1980), 249-262

40. Remarks on Nonlinear Evolution Equations and Ordinary Differential Equations of Painlevé Type, M. J. Ablowitz, Physica D, 3, (1981), 129-141

41. Asymptotic Solutions of Nonlinear Evolution Equations and a PainlevéTranscendent, H. Segur and M. J. Ablowitz, Physica D, 3, (1981), 165-184

42. The Soliton: A Significant Coherent Nonlinear Phenomena, M. J. Ablowitz and A. S. Fokas, Clarkson Innovations, 1, (1981), 2-3

43. Finite Perturbations and Solutions of the Korteweg-deVries Equation, H. Airault and M. J. Ablowitz, C. R. Acad. Sc. Paris, 292, (1981), 279-281

44. The Nonlinear Intermediate Long Wave Equation: Analysis and Method of Solution, Y. Kodama and J. Satsuma and M. J. Ablowitz, Phys. Rev. Lett., 46, (1981), 687-690

45. Linearization of the KdV and Painlevé II Equations, A. S. Fokas and M. J. Ablowitz, Phys. Rev. Lett., 47, (1981), 1096-1100

46. Perturbations of Solitons and Solitary Waves, Y. Kodama and M. J. Ablowitz, Stud. Appl. Math., 64, (1981), 225-245

47. The Periodic Cubic Schrödinger Equation, Y. C. Ma and M. J. Ablowitz, Stud. Appl. Math., 65, (1981), 113-158

48. Note on Asymptotic Solutions of the Korteweg-deVries Equation with Solitons, M. J. Ablowitz and Y. Kodama, Stud. Appl. Math., 66, (1982), 159-170

49. Direct and Inverse Scattering Problems of Nonlinear Intermediate Long Wave Equation, Y. Kodama and M. J. Ablowitz and J. Satsuma, J. Math. Phys., 23, (1982), 564-576

50. On the Periodic Intermediate Long Wave Equations, M. J. Ablowitz and A. S. Fokas and J. Satsuma and H. Segur, J. Phys. A, 15, (1982), 781-786

51. On a Unified Approach to Transformations and Elementary Solutions of Painlevé Equations, A. S. Fokas and M. J. Ablowitz, J. Math. Phys., 23, (1982), 2033-2042

52. The Inverse Scattering Transform for the Benjamin-Ono Equations--A Pivot to Multidimensional Problems, A. S. Fokas and M. J. Ablowitz, Stud. Appl. Math., 68, (1983), 1-10

53. On the Inverse Scattering of the Time Dependent Schrödinger Equations and the Associated KPI Equation, A. S. Fokas and M. J. Ablowitz, Stud. in Appl. Math, 69, (1983), 211-228

54. On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation, M. J. Ablowitz and D. Bar Yaacov and A. S. Fokas, Stud. Appl. Math., 69, (1983), 135-143

55. On a Method of Solution for a Class of Multidimensional Nonlinear Evolution Equations, A. S. Fokas and M. J. Ablowitz, Phys. Rev. Lett., 51, (1983), 7-10

56. On the Initial Value Problem of the Second Painlevé Transcendent, A. S. Fokas and M. J. Ablowitz, Commun. Math. Phys., 91, (1983), 381-403

57. The Direct Linearizing Transform and the Benjamin-Ono Equation, M. J. Ablowitz and A. S. Fokas and R. L. Anderson, Phys. Lett. A, 93, (1983), 375-378

58. On the Inverse Scattering and Direct Linearizing Transforms for the Kadomtsev-Petviashvili Equation, A. S. Fokas and M. J. Ablowitz, Phys. Lett. A, 94, (1983), 67-70

59. On a Backlund Transformation and Scattering Problem for the Modified Intermediate Long Wave Equation, J. Satsuma and T. R. Taha and M. J. Ablowitz, J. Math. Phys., 25, (1984), 900-904

60. Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations Part I: Analytical, T. R. Taha and M. J. Ablowitz, J. Comp. Phys., 55, (1984), 192-202

61. Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations Part II: Numerical Nonlinear Schrödinger Equation, T. R. Taha and M. J. Ablowitz, J. Comp. Phys, 55, (1984), 203-230

62. Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations Part III: Numerical Korteweg-deVries Equation, T. R. Taha and M. J. Ablowitz, J. Comp. Phys., 55, (1984), 231-253

63. On the Inverse Scattering Transform of Multidimensional Nonlinear Equation Related to First Order Systems in the Plane, A. S. Fokas and M. J. Ablowitz, J. Math. Phys., 25, (1984), 2494-2505

64. On the Limit from the Intermediate Long Wave Equation to the Benjamin-Ono Equation, P. Santini and M. J. Ablowitz and A. S. Fokas, J. Math. Phys., 25, (1984), 892-899

65. The Direct Linearization of a Class of Nonlinear Evolution Equations, P. M. Santini and M. J. Ablowitz and A. S. Fokas, J. Math Phys, 25, (1984), 2614-2619

66. A Multidimensional Inverse Scattering Method, A. Nachman and M. J. Ablowitz, Stud. Appl. Math., 71, (1984), 243-250

67. Multidimensional Inverse Scattering for First Order Systems, A. Nachman and M. J. Ablowitz, Stud. Appl. Math., 71, (1984), 251-262

68. Nonlinear Evolution Equations Associated with a Riemann-Hilbert Scattering Problem, A. Degasperis and P. M. Santini and M. J. Ablowitz, J. Math. Phys., 26, (1985), 2469-2472

69. Multidimensional Nonlinear Evolution Equations and Inverse Scattering, M. J. Ablowitz and A. I. Nachman, Physica D, 18, (1986), 223-241

70. On the solution of the generalized wave and generalized Sine-Gordon equation, M. J. Ablowitz and R. Beals and K. Tenenblat, Stud. Appl. Math, 74, (1986), 177-203

71. Note on Solutions to a Class of Nonlinear Singular Integro-differential equations, M. J. Ablowitz and A. S. Fokas and M. D. Kruskal, Phys. Lett A, 120, (1987), 215-218

72. An Example of a d-bar Problem Arising in a Finite Difference Contex: Direct and Inverse Problem for the Discrete Analogue of the Equation, O. Ragnisco and P. M. Santini and S. Chitlaru-Briggs and M. J. Ablowitz, J. Math. Phys., 28, (1987), 777-780

73. Solutions of Multidimensional Extensions of the Anti-Self-Dual Yang-Mills Equations, M. J. Ablowitz and D. G. Costa and K. Tenenblat, Stud. Appl. Math., 77, (1987), 37-46

74. On the Initial Value Problem for a Class of Nonlinear Integral Evolution Equations Including the Sine-Hilbert Equation, P. M. Santini and M. J. Ablowitz and A. S. Fokas, J. Math. Phys., 28, (1987), 2130-2316

75. Davey-Stewartson I System: A Quantum 2+1 Dimensional Integrable System, C. L. Schultz and M. J. Ablowitz and D. Bar Yaacov, Phys. Rev. Lett., 59, (1987), 2825-2828

76. A Method of Linearization for Painlevé Equations: Painlevé IV, V, A. S. Fokas and U. Mugan and M. J. Ablowitz, Physica D, 30, (1988), 247-283

77. A Rule for Fast Computation and Analysis of Soliton Automata, T. S. Papatheodorou and M. J. Ablowitz and Y. G. Saridakis, Stud. in Appl. Math., 79, (1988), 173-184

78. Analytical and Numerical Aspects of Certain Nonlinear Evolution Equations IV Numerical Modified Korteweg-deVries Equation, T. Taha and M. J. Ablowitz, J. Comp. Phys., 77, (1988), 540-548

79. Hodograph Transformations of Linearizable Partial Differential Equations, P. A. Clarkson and A. S. Fokas and M. J. Ablowitz, SIAM J. Appl. Math., 49, (1989), 1188-1209

80. Forced Nonlinear Evolution Equations and the Inverse Scattering Transform, A. S. Fokas and M. J. Ablowitz, Stud. Appl. Math., 80, (1989), 253-272

81. Interaction of Simple Particles in Soliton Cellular Automata, A. S. Fokas and E. P. Papadopoulou and Y. G. Saridakis and M. J. Ablowitz, Stud. Appl. Math, 81, (1989), 153-180

82. Strong Coupling Limit of Certain Multidimensional Nonlinear Equations, M. J. Ablowitz and C. L. Schultz, Stud. Appl. Math., 80, (1989), 229-238

83. Numerically Induced Chaos in the Nonlinear Schrödinger Equation, B. Herbst and M. J. Ablowitz, Phys. Rev. Lett, 62, (1989), 2065-2069

84. Action Angle Variables and Trace Formula for the D-Bar Limit Case of Davey-Stewartson I, C. L. Schultz and M. J. Ablowitz, Phys. Lett. A, 135, (1989), 433-437

85. Solitons Inverse Problems and Nonlinear Equations, M. J. Ablowitz, Math. Applic. Comp., 8, (1989), 127-152

86. On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation, M. J. Ablowitz and B. M. Herbst, SIAM J. Appl. Math., 50, (1990), 339-351

87. Reductions of Self-Dual Yang-Mills Fields and Classical Equations, S. Chakravarty and M. J. Ablowitz and P. A. Clarkson, Phys. Rev. Lett., 65, (1990), 1085-1087

88. On the Boundary Conditions of the Davey-Stewartson Equation, M. J. Ablowitz and S. V. Manakov and C. L. Schultz, Phys. Lett. A, 148, (1990), 50-52

89. On the Kadomtsev Petviashvili Equation and Associated Constraints, M. J. Ablowitz and J. Villarroel, Stud. Appl. Math., 85, (1991), 195-213

90. On the Hamiltonian Formalism for the Davey-Stewartson System, J. Villarroel and M. J. Ablowitz, Inverse Problems, 7, (1991), 451-460

91. Numerical Homoclinic Instabilities and the Complex Modified Korteweg-deVries Equation, B. M. Herbst and M. J. Ablowitz and E. Ryan, Computer Phys. Commun., 65, (1991), 137-142

92. Forced and Semiline Solutions of Burger's Equation, by M. J. Ablowitz and S. de Lillo, Phys. Lett. A, 156, (1991), 483-487

93. A Class of Stable Multistate Time-Reversible Cellular Automata with Rich Particle Content, by M. J. Ablowitz and J. M. Keiser and L. A. Takhtajan, Phys. Rev. A, 44, (1991), 6909-6912

94. Dynamics of Semi-Discretizations of the Defocusing Nonlinear Schrödinger Equation, M. J. Ablowitz and B. M. Herbst and J. A. Weidman, IMA Journal of Numerical Analysis II, (1991), 539-552

95. On the Method of Solution to the 2+1 Toda Equation, J. Villarroel and M. J. Ablowitz, Phys. Lett. A, 163, (1992), 293-296

96. A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities, M. Wadati and H. Segur and M. J. Ablowitz, Journal of the Physical Society of Japan, 61, (1992), 1187-1193

97. Numerical Homoclinic Instabilities in the Sine-Gordon Equation, B. M. Herbst and M. J. Ablowitz, Quaestiones Math., 15, (1992), 345-363

98. Stable Multi-State Time-Reversible Cellular Automata with Rich Particle Content, M. J. Ablowitz and J. M. Keiser and L. A. Takhtajan, Quaestiones Math., 15, (1992), 325-343

99. Interaction Effects on Wavelength Multiplexed Soliton Data Packets, A. F. Benner and J. R. Sauer and M. J. Ablowitz, J. Opt. Soc. of America B, 10, (1993), 2331-2340

100. A Self-Dual Yang-Mills Hierarchy and its Reductions to Integrable Systems in 1+1 and 2+1 Dimensions, M. J. Ablowitz and S. Chakravarty and L. A. Takhtajan, Commun. Math. Phys., 158, (1993), 289-314

101. Numerical Chaos Symplectic Integrators and Exponentially Small Splitting Distances, B. M. Herbst and M. J. Ablowitz, J. Comp. Phys., 105, (1993), 122-132

102. On the Inverse Scattering Transform of the 2+1 Toda Equation, J. Villarroel and M. J. Ablowitz, Physica D, 65, (1993), 48-70

103. Numerical Chaos Roundoff Errors and Homoclinic Manifolds, M. J. Ablowitz and C. Schober and B. M. Herbst, Phys. Rev. Lett., 71, (1993), 2683-2686

104. On the Method of Solution of the Differential-Delay Toda Equation, J. Villarroel and M. J. Ablowitz, Phys. Lett. A, 180, (1993), 413-418

105. Solutions to the 2+1 Toda Equation, J. Villarroel and M. J. Ablowitz, J. Phys. A, 27, (1994), 931-941

106. Parametric Forcing Bound States and Solutions of a Nonlinear Schrödinger Type Equation, M. J. Ablowitz and S. De Lillo, Nonlinearity, 7, (1994), 1143-1153

107. Wave Collapse and Instability of Solitary Waves of a Generalized Nonlinear Kadomtsev-Petviashvili Equation, X. P. Wang and M. J. Ablowitz and H. Segur, Physica D, 78, (1994), 241-265

108. Homoclinic Manifolds and Numerical Chaos in the Nonlinear Schrödinger Equation, M. J. Ablowitz and C. Schober, Mathematics and Computers in Simulation, 37, (1994), 249-264

109. Effective Chaos in the Nonlinear Schrödinger Equation, M. J. Ablowitz and C. Schober, Contemporary Mathematics, 172, (1994), 253-268

110. Multisoliton Interactions and Wavelength-Division-Multiplexing, S. Chakravarty and M. J. Ablowitz and J. R. Sauer and R. B. Jenkins, Opt. Lett., 20, (1995), 136-138

111. Integrability Computation and Applications, M. J. Ablowitz and S. Chakravarty and B. M. Herbst, Acta Applicande Mathematicae, 39, (1995), 5-37

112. Data-Dependent Timing Jitter in WDMS Soliton Systems, R. B. Jenkins and J. R. Sauer and S. Chakravarty and M. J. Ablowitz, Opt. Lett., 20, (1995), 1964-1966

113. Numerical Simulation of Quasi-Periodic Solutions of the Sine-Gordon Equation, M. J. Ablowitz and B. M. Herbst and C. M. Schober, Physica D, 87, (1995), 37-47

114. Integrability Monodromy Evolving Deformations and Self-Dual Bianchi IX Systems, S. Chakravarty and M. J. Ablowitz, Phys. Rev. Lett., 76, (1996), 857-860

115. Computational Chaos in the Nonlinear Schrödinger Equation Without Homoclinic Crossings, M. J. Ablowitz and B. M. Herbst and C. M. Schober, Physica A, 228, (1996), 212-235

116. On the Numerical Solution of the Sine-Gordon Equation I. Integrable Discretizations and Homoclinic Manifolds, M. J. Ablowitz and B. M. Herbst and C. M. Schober, J. Comp. Phys., 126, (1996), 299-314

117. The Burgers Equation Under Deterministic and Stochastic Forcing, M. J. Ablowitz and S. De Lillo, Physica D, 92, (1996), 245-259

118. On a 2+1 Volterra System, J. Villarroel and S. Chakravarty and M. J. Ablowitz, Nonlinearity, 9, (1996), 1113-1128

119. Four-wave Mixing in Wavelength-division Multiplexed Soliton Systems-Damping and Amplification, M. J. Ablowitz and G. Biondini and S. Chakravarty and R. B. Jenkins and J. R. Sauer, Optics Letters, 21, (1996), 1646-1648

120. Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations, M. J. Ablowitz and J. Villarroel, Phys. Rev. Lett., 78, (1997), 570-573

121. The Nonlinear Schrödinger Equation: Asymmetric Perturbations Traveling Waves and Chaotic Structures, M. J. Ablowitz and B. M. Herbst and C. M. Schober, Mathematics and Computers in Simulation, 43, (1997), 3-12

122. Initial Time Layers and Kadomtsev-Petviashvili Type Equations, M. J. Ablowitz and X-P. Wang, Stud. Appl. Math., 98, (1997), 121-137

123. On the Well-posedness of the Eckhaus Equation, M. J. Ablowitz and G. Biondini and S. De Lillo, Phys. Lett. A, 230, (1997), 319-323

124. On the Numerical Solution of the Sine-Gordon Equation II. Performance of Numerical Schemes, M. J. Ablowitz and B. M. Herbst and C. M. Schober, J. of Comp. Phys., 131, (1997), 354-367

125. Four-wave Mixing in Wavelength-division Multiplexed Soliton Systems-Ideal Fibers, M. J. Ablowitz and G. Biondini and S. Chakravarty and R. B. Jenkins and J. R. Sauer, J. Opt. Soc. Am. B, 14, (1997), 1788-1794

126. Multi-dimensional Pulse Propagation in Non-resonant chi-2 Materials, M. J. Ablowitz and G. Biondini and S. Blair, Phys. Lett. A, 236, (1997), 520-524

127. On Timing Jitter in Wavelength-division Multiplexed Soliton Systems, M. J. Ablowitz and G. Biondini and S. Chakravarty and Rudy L. Horne, Optics Communications, 150, (1998), 305-318

128. Multiscale Pulse Dynamics in Communication Systems with Strong Dispersion Management, M. J. Ablowitz and G. Biondini, Optics Letters, 23, (1998), 1668-1670

129. The Generalized Chazy Equation and Schwarzian Triangle Functions, M. J. Ablowitz and S. Chakravarty and R. Halburd, Asian J. Math., 2, (1998), 619-624

130. On Discretization of the Vector Nonlinear Schrödinger Equation, by M. J. Ablowitz and Y. Ohta and A. D. Trubatch, Phys. Lett. A, 253, (1999), 287-304

131. The Generalized Chazy Equation from the Self-duality Equations, M. J. Ablowitz and S. Chakravarty and R. Halburd, Stud. Appl. Math., 103, (1999), 75-88

132. On the Discrete Spectrum of the Nonstationary Schrödinger Equation and Multipole Lumps of the Kadomtsev-Petviashvili Equation, J. Villarroel and M. J. Ablowitz, Commun. Math. Phys., 207, (1999), 1-42

133. A Comparison Between Lumped and Distributed Filter Models in Wavelength-division Multiplexed Soliton Systems, M. J. Ablowitz and G. Biondini and S. Chakravarty and R. Horne, Optics Communications, 172, (1999), 211-227

134. Solitons and Symmetries, M. J. Ablowitz and P. A. Clarkson, J. Eng. Math. Special Edition, 36, (1999), 1-9

135. Modulated Periodic Waves in Deep Water, M. J. Ablowitz and J. Hammack and D. Henderson and C. M. Schober, Phys. Rev. Lett., 84, (2000), 887-890

136. On Integrability and Chaos in Discrete Systems, M. J. Ablowitz and Y. Ohta and A. D. Trubatch, Chaos Solitons and Fractals, 11, (2000), 159-169

137. A Novel Class of Solutions of the Non-stationary Schrödinger and the Kadomtsev-Petviashvili I Equations, M. J. Ablowitz and S. Chakravarty and A. D. Trubatch and J. Villarroel, Phys. Lett. A, 267, (2000), 132-146

138. On a Burgers-Stefan Problem, M. J. Ablowitz and S. De Lillo, Nonlinearity, 13, (2000), 471-478

139. On the Extension of the Painlevé Property to Difference Equations, M. J. Ablowitz and R. Halburd and B. Herbst, Nonlinearity, 13, (2000), 889-905

140. Optical Solitons-Perpsectives and Applications, M. J. Ablowitz and G. Biondini and L. Ostrovsky, Chaos, 10, (2000), 471-474

141. Solutions of a Burgers-Stefan Problem, M. J. Ablowitz and S. De Lillo, Physics Letters, 271, (2000), 273-276

142. Resonant nonlinear intrachannel interactions in strongly dispersion managed transmission systems, M. J. Ablowitz and T. Hirooka, Optics Letters, 25, (2000), 1750-1752

143. Quasi-linear optical pulses in strongly dispersion managed transmission systems, M. J. Ablowitz and T. Hirooka and G. Biondini, Optics Letters, 26, (2001), 459-461

144. Long time dynamics of the modulational instability of deep water waves, M. J. Ablowitz and J. Hammack and D. Henderson and C. M. Schober, Physica D, 152--153, (2001), 416-433

145. Nonlinear Schrödinger equations with mean terms in non-resonant multi-dimensional quadratic materials, M. J. Ablowitz and G. Biondini and S. Blair, Physical Review E, 63, (2001), 605-620

146. Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons, M. J. Ablowitz and G. Biondini and E. S. Olson, J. Opt. Soc. Am. B, 18, (2001), 577-583

147. Nonlinear Feedback Shift Registers Via Nonlinear Evolution, M. J. Ablowitz, Studies in Applied Math 2000, 107, (2001), 127-136

148. Nonlinear Effects in Quasi-linear Dispersion Managed Pulse Transmission, M. J. Ablowitz and T. Hirooka, IEEE Photonics Technology Letters, 13, (2001), 1082-1084

149. Intrachannel pulse interactions and timing shifts in strongly dispersion-managed transmission systems, M. J. Ablowitz and T. Hirooka, Optics Letters, 26, (2001), 1846-1848

150. Discrete Diffraction Managed Spatial Solitons, M. J. Ablowitz and Z. Musslimani, Physical Review Letters, 87, (2001)

151. Discretizations, Integrable Systems and Computation, M. J. Ablowitz and B. M. Herbst and and C. M. Schober, J. Phys. A: Math. Gen., 34, (2001), 10671-10693

152. Methods for Discrete Solitons in Nonlinear Lattices, M. J. Ablowitz and Z. Musslimani, Physical Review E, 65, (2002)

153. Intrachannel pulse interactions in dispersion-managed transmission systems: energy transfer, M. J. Ablowitz and T. Hirooka, Optics Letters, 27, (2002), 201-203

154. Suppression of Intrachannel Dispersion-Managed Pulse Interactions by Distributed Amplification, T. Hirooka and M. J. Ablowitz, IEEE Photonics Technology Letters, 14, (2002), 316-318

155. Managing nonlinearity in strongly dispersion-managed optical pulse transmission, M. J. Ablowitz and T. Hirooka, J. Opt. Soc. Am. B, 19, (2002), 425-439

156. Collision-induced timing shifts in dispersion-managed soliton systems, M. J. Ablowitz and G. Biondini and A. Biswas and A Docherty and T. Hirooka and S. Chakravarty, Opt. Lett., 27, (2002), 318-320

157. Suppression of intrachannel dispersion-managed pulse interactions by distributed amplification, T.Hirooka and M.J. Ablowitz, IEEE Photonics Technology Letters, 14, (2002), 316-318

158. Analysis of timing and amplitude jitter due to intrachannel dispersion-managed pulse interactions, T.Hirooka and M.J. Ablowitz, IEEE Photonics Technology Letters, 14, (2002), 633-635

159. Discrete Vector Spatial Solitons in a Nonlinear Waveguide Array, M.J. Ablowitz and Z. Musslimani, Physical Review E, 65, (2002), 056618-1-13

160. Resonant intrachannel pulse interactions in dispersion-managed transmission systems, M.J. Ablowitz and T.Hirooka, IEEE Journal on selected topics in quantum electronics, 8, (2002), 603-615

161. Higher order aymptotic analysis of dispersion-managed transmission systems: solutions and their characteristics, M.J. Ablowitz, T.Hirooka and T. Inoue, J. Opt. Soc. Am. B, 19, (2002), 2876-2885

162. The Cauchy problem for the Kadomtsev-Petviashili II equation with nondecaying data along a line, J. Villarroel and M. J. Ablowitz, Stud. Appl. Math, 109, (2002), 151-162

163. Dark and gray dispersion managed solitons, M.J. Ablowitz and Z. Musslimani, Physical Review E, Rapid Communications, 109, (2003), 025601-1-4

164. Four wave mixing in dispersion managed transmission systems, M.J. Ablowitz, G. Biondini, S. Chakravarty, R.L. Horne, J. Opt. Soc. Am. B, 20, (2003), 831-845

165. On a two-phase free boundary problem, M.J. Ablowitz and S. De Lillo, Journal of Physics A: Mathematical and General, 36, (2003), 831-845

166. Incomplete collisions in strongly dispersion managed return-to-zero communication systems, M.J. Ablowitz, A. Docherty and T. Hirooka, Optics Letters, 28, (2003), 1191-1193

167. Discrete spatial solitons in a diffraction managed nonlinear waveguide array: a unified approach, M.J. Ablowitz and Z. Musslimani, Physica D, 184, (2003), 276-303

168. On the discrete spectrum of systems in the plane and the Davey-Stewartson II equation, J. Villarroel and M.J. Ablowitz, SIAM Journal on Mathematical Analysis, 34, (2003), 1253-1278

169. Integrable systems and reductions of the self-dual Yang-Mills equations, M.J. Ablowitz, S. Chakravarty, R.G. Halburd, Journal of Mathematical Physics, 44, (2003), 3147-3173

170. Dispersion management for randomly varying optical fibers, M.J. Ablowitz, and J.T. Moeser, Optics Letters, 29, (2004), 821-823

171. Carrier-envelope phase slip of ultra-short dispersion managed solitons, M.J. Ablowitz, B. Ilan and S. Cundiff, Optics Letters, 29, (2004), 1808-1820

172. On the initial value problem for the KPII equation with data that does not decay along a line, J. Villarroel and M.J. Ablowitz, Nonlinearity, 17, (2004), 1843 - 1866

173. Reduction of collision-induced timing shifts in dispersion-managed quasi-linear systems with periodic group-delay dispersion compensation, M.J. Ablowitz, C. Ahrens, G. Biondini, S. Chakravarty and A. Docherty, Optics Letters, 29, (2004), 2354-2356

174. Soliton interactions in the vector NLS equation, M. J. Ablowitz B. Prinari and D. Trubatch, Inverse Problems, 20, (2004), 1217-1237

175. Integrable nonlinear Schrödinger systems and their soliton dynamics, M.J. Ablowitz, B.Prinari and A.D. Trubatch, Dynamics of Partial Differential Equations, 1, (2004), 239-299

176. Solvability of the direct and inverse problems for the nonlinear Schrödinger equation, J. Villarroel, M.J. Ablowitz, and B. Prinari, Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, 87, (2005), 245-280

177. Dynamics of nonlinear and dispersion managed soltions, Q. Quraishi, S. Cundiff, B. Ilan and M.J. Ablowitz, Physical Review Letters, 94, (2005), 243904

178. Spectral renormalization method to compute nonlinear self-localized solutions to nonlinear systems, M.J. Ablowitz, Z. Musslimani, Optics letters, 30, (2005), 2140-2142

179. On a quasi integrable discrete Eckhaus equation, M.J. Ablowitz, C.D. Ahrens and S. DeLillo, Journal of Nonlinear Mathematical Physics, 30, (2005), 1-12

180. Wave dynamics in optically modulated waveguide arrays, M.J. Ablowitz, K. Julien, Z. Musslimani and M. Weinstein, Physical Review E, 71, (2005), 055602

182. Calculation, characterization, and application of the time shift function in wavelength division multiplexed return to zero systems, O.V. Sinkin, V.S. Gregorian, J. Zweck, C.R. Menyuk, A. Docherty and M.J Ablowitz, Optics Letters, 30, (2005), 2056-2058

183. Wave collapse in nonlocal nonlinear Schrodinger systems, M.J. Ablowitz, I. Bakirtas, and B. Ilan, Physica D, 207, (2005), 230-253

184. Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with pre- and post-dispersion compensation, C.D. Ahrens, M.J. Ablowitz, A. Docherty, Oleg V. Sinkin, V. Gregorian and C.R. Menyuk, Optics Letters, 30, (2005), 2056-2058

185. Theory of magnetodynamics induced by spin torque in perpendicularly magnetized thin films, M. A. Hoefer, M.J. Ablowitz, B. Ilan, M.R. Pufall, and T.J. Silva, Phys. Rev. Lett., 95, (2005), 267206

186. Discrete Vector Solitons: Composite Solitons, Yang Baxter Maps and Computation, M. J. Ablowitz, B. Prinari, A. D. Trubatch, Studies in Applied Math, 116, (2006), 97-133

187. Inverse scattering for the vector nonlinear Schrödinger equation with non-vanishing boundary conditions, B. Prinari, M.J. Ablowitz, G. Biondini, Journal of Mathematical Physics, 47, (2006), 063508-1-33

188. Noise induced linewidth in frequency combs, M.J. Ablowitz, B. Ilan and S. Cundiff, Optics Letters, 31, (2006), 1875-1877

189. On a new nonlocal formulation of water waves, M.J. Ablowitz, A.S. Fokas and Z. Musslimani, Journal of Fluid Mechanics, 562, (2006), 313 - 343

190. Solitons in two-dimensional lattices possessing defects, dislocations and quasicrystal structures, M. J. Ablowitz, B. Ilan, E. Schonbrun, and R. Piestun, Physical Review E, Rapid Communications, 74, (2006), 035601

191. Dispersive and classical shock waves in Bose-Einstein condensates and gas dynamics, M. A. Hoefer, M.J. Ablowitz, I. Coddington, E. A. Cornell. P. Engels and V. Schweikhard, Physical Review A., 74, (2006) 023623

192. Integrable systems and modular forms of level 2, M.J. Ablowitz, S. Chakravarty, H. Hahn, Journal of Physics A-Mathematical and General, 39, (2006), 15341-15353

193. Inverse scattering transform for the integrable discrete nonlinear Schrodinger equation with nonvanishing boundary conditions, M.J. Ablowitz, G. Biondini and B. Prinari, Inverse Problems, 23 (2007), 1711-1758

194. Two-dimensional solitons in irregular lattice systems, M.J. Ablowitz, B. Ilan, E. Schonbrun and R. Piestun, Theoritical and Mathematical Physics, 151 (2007), 723-734

195. Interactions of dispersive shock waves, M.A. Hoefer and M.J. Ablowitz, Physica D, 236 (2007), 44-64

196. Piston dispersive shock wave problem, M.A. Hoefer, M.J. Ablowitz and P. Engels, Physical Review Letters, 100 (2008), 084504

197. Solitons in dispersion-managed mode-locked lasers, M.J. Ablowitz, T.P. Horikis and B. Ilan, Physical Review A, 77 (2008), 033814

198. Pulse dynamics and solitons in mode-locked lasers, M.J. Ablowitz and T.P. Horikis, Physical Review A, 78 (2008), 011802

199. Spectral formulation of the two fluid Euler equations with a free interface and long wave reductions, M.J. Ablowitz and T.S. Haut, Analysis and Applications, 6 (2008), 323-348

200. Damping of Periodic Waves in Physically Significant Wave Systems, M.J. Ablowitz and N. Antar, Studies in Applied Mathematics, 121 (2008), 313-335

201. Asymptotic Analysis of Pulse Dynamics in Mode-Locked Lasers, M.J. Ablowitz, T.P. Horikis, S.D. Nixon and Y. Zhu, Studies in Applied Mathematics, 122 (2009), 411-425

202. Conical diffraction in honeycomb lattices, M.J. Ablowitz, S.D. Nixon and Y. Zhu, Physical Review A, 79 (2009), 053830

203. Solitons and spectral renormalization methods in nonlinear optics, M.J. Ablowitz and T.P. Horikis, European Physical Journal-Special Topics, 173 (2009), 147-166

204. Solitons in normally dispersive mode-locked lasers, M.J. Ablowitz and T.P. Horikis, Physical Review A, 79 (2009), 063845

205. Asymptotic expansions for solitary gravity-capillary waves in two and three dimensions, M.J. Ablowitz and T.S. Haut, Proceedings of the Royal Society A, 465 (2009), 2725-2749

206. Soliton generation and multiple phases in dispersive shock and rarefaction wave interaction, M.J. Ablowitz, D.E. Baldwin and M.A. Hoefer, Physical Review E, 80 (2009), 016603

207. A reformulation and applications of interfacial fluids with a free surface, T.S. Haut and M.J. Ablowitz, Journal of Fluid Mechanics, 631 (2009), 375-396

208. Coupled nonlinear Schrodinger equations for interfacial fluids with a free surface, M.J. Ablowitz and T.S. Haut, Theoretical and Mathematical Physics, 159 (2009), 689-697

209. Soliton strings and interactions in mode-locked lasers, M.J. Ablowitz, T.P. Horikis and S.D. Nixon, Optics Communications, 282 (2009), 4127-4135

210. Parameterizations of the Chazy Equation, S. Chakravarty and M.J. Ablowitz, Studies in Applied Mathematics, 124 (2010), 105-135

211. Band-gap boundaries and fundamental solitons in complex two-dimensional nonlinear lattices, M.J. Ablowitz, N. Antar, I. Bakirtas and B. Ilan, Physical Review A, 81 (2010), 033834