Continuous Families of Embedded Solitons in the Third-Order Nonlinear Schrödinger Equation
The nonlinear Schrödinger 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 these families of embedded solitons are linearly stable, but nonlinearly semi-stable.
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Document Type: Research Article
Publication date: October 1, 2003