Stable embedded solitons

Details Stable embedded solitons Stable embedded solitons

2003-09-04

arxiv.org/abs/nlin/0309014v1

Nonlinear Sciences

Pattern Formation and Solitons

2 figures. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.91.143903

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.

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