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Embedded solitons in the third-order nonlinear Schrödinger equation

2006/09/19 by Debabrata Pal, Pal, Debabrata, Sk. Golam Ali +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0609048

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

arxiv created 2006/09/19 · arxiv updated 2009/12/01

Abstract

We derive a straightforward variational method to construct embedded soliton solutions of the third-order nonlinear Schödinger 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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