## New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation

- Gui-Qiong Xu
- Applied Mathematics and Computation
- 2011

@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} }

- Published 2006 in Applied Mathematics and Computation
DOI:10.1016/j.amc.2005.02.055

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… CONTINUE READING

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