Continuous families of embedded solitons in the third-order NLS equation

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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.
To appear in Stud. Appl. Math

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/80442

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0303058
 http://arxiv.org/abs/nlin/0303058

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arXiv