On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential

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A proof of existence of stationary dark soliton solutions of the cubic-quintic nonlinear Schrödinger equation with a periodic potential is given. It is based on the interpretation of the dark soliton as a heteroclinic on the Poincaré map.
10 pages

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Pattern Formation and Solitons, Other Condensed Matter, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/114331

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0606016
 http://arxiv.org/abs/nlin/0606016

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arXiv