Stable embedded solitons

J. Yang

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Stable embedded solitons

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arxiv nlin/0309014 v1 pith:4UQBOUHX submitted 2003-09-04 nlin.PS

Stable embedded solitons

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Stable embedded solitons are discovered in the generalized third-order nonlinear Schroedinger equation. When this equation can be reduced to a perturbed complex modified KdV equation, we developed a soliton perturbation theory which shows that a continuous family of sech-shaped embedded solitons exist and are nonlinearly stable. These analytical results are confirmed by our numerical simulations. These results establish that, contrary to previous beliefs, embedded solitons can be robust despite being in resonance with the linear spectrum.

Stable embedded solitons

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