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

Jianke Yang; Triantaphyllos R. Akylas

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arXiv · nlin/0303058

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

Jianke Yang·Triantaphyllos R. Akylas

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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.

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Jianke Yang, Triantaphyllos R. Akylas. 2003-03-24. Continuous families of embedded solitons in the third-order NLS equation. https://arxiv.org/abs/nlin/0303058

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