We consider traveling wave solutions of the nonlinear Schrödinger (NLS for short) equation. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the NLS equation for the initial condition without using any classical transformations and then its numerical solutions are constructed without using any discretization… (More)

@article{ElSayed2006ANS,
title={A numerical solution and an exact explicit solution of the NLS equation},
author={Salah M. El-Sayed and Dogan Kaya},
journal={Applied Mathematics and Computation},
year={2006},
volume={172},
pages={1315-1322}
}