Embedded solitons in the third-order nonlinear Schr\"{o}dinger equation
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We derive a straightforward variational method to construct embedded soliton solutions of the third-order nonlinear Sch\"odinger equation and analytically demonstrate that these solitons exist as a continuous family. We argue that a particular embedded soliton when perturbed may always relax to the adjacent one so as to make it fully stable.
Cite
@article{arxiv.nlin/0609048,
title = {Embedded solitons in the third-order nonlinear Schr\"{o}dinger equation},
author = {Debabrata Pal and Sk. Golam Ali and B. Talukdar},
journal= {arXiv preprint arXiv:nlin/0609048},
year = {2007}
}
Comments
6 pages, 1 figure, submitted to Phys. Rev.A