Continuous families of embedded solitons in the third-order NLS equation
Pattern Formation and Solitons
2007-05-23 v1
Abstract
The nonlinear Schroedinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found through a gauge transformation. By applying this transformation, an embedded soliton can acquire any velocity above a certain threshold value. It is also shown that all these families of embedded solitons are linearly stable, but nonlinearly semi-stable.
Keywords
Cite
@article{arxiv.nlin/0303058,
title = {Continuous families of embedded solitons in the third-order NLS equation},
author = {Jianke Yang and Triantaphyllos R. Akylas},
journal= {arXiv preprint arXiv:nlin/0303058},
year = {2007}
}
Comments
To appear in Stud. Appl. Math