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

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.

10 pages

Cited by in corpus (1)

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