| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637597 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
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 technique. The numerical solutions are compared with the known analytical solutions. Its remarkable accuracy is finally demonstrated in the study of some initial values of the NLS equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Salah M. El-Sayed, Dogˇan Kaya,