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

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

2003-03-24

arxiv.org/abs/nlin/0303058v1

Nonlinear Sciences

Pattern Formation and Solitons

To appear in Stud. Appl. Math

Scientific paper

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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