Embedded solitons in the third-order nonlinear Schrödinger equation

Details Embedded solitons in the third-order nonlinear Schrödinger equation Embedded solitons in the third-order nonlinear Schrödinger equation

2006-09-19

arxiv.org/abs/nlin/0609048v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages, 1 figure, submitted to Phys. Rev.A

Scientific paper

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.

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