On existence of dark solitons in cubic-quintic nonlinear Schrödinger equation with a periodic potential
Pedro J. Torres, Vladimir V. Konotop
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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