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

Pedro J. Torres; Vladimir V. Konotop

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

Pedro J. Torres·Vladimir V. Konotop

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Abstract

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.

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Pedro J. Torres, Vladimir V. Konotop. 2006-06-05. On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential. https://arxiv.org/abs/nlin/0606016

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