Publications

In Refereed Journals

1. Mark J. Ablowitz and Christopher W. Curtis. Conservation Laws and Non-decaying Solutions for the Benney-Luke Equation.

   (ArXiv) Accepted in Proc. Roy. Soc. A (2013)

2. David M. Bortz and Christopher W. Curtis. Propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion.

   (ArXiv) Phys. Rev. E 86(6), 066108, (2012)

3. Mark J. Ablowitz, Christopher W. Curtis, and Yi Zhu. On tight-binding approximations in optical lattices.

   (DOI) Stud. in Appl. Math. vol. 129, pp. 362–388, (2012)

4. Christopher W. Curtis. Stability of solutions to a non-local Gross-Pitaevskii equation with applications to Bose-Einstein condensates.

   (AIP) J. Math. Physics vol. 53, 073709 (2012)

5. Mark J. Ablowitz and Christopher W. Curtis. On the evolution of perturbations to solutions of the Kadomtsev–Petviashvilli equation using the Benney–Luke equation

   (IOP) J. Phys. A: Math. Theor. vol. 44, pp. 195202, (2011).

6. Min Chen, Christopher W. Curtis, Bernard Deconinck, Crystal Lee, and Nghiem Nguyen. Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media.

   (SIAM) SIAM J. Appl. Dyn. Sys. vol. 9, pp. 999–1018, (2010).

7. Christopher W. Curtis and Bernard Deconinck. On the convergence of Hill's method.

   (AMS) Math. Comp. vol. 79, pp. 169–187, (2010).

In Preparation

Thesis