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

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

2006-06-05

arxiv.org/abs/nlin/0606016v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages

Scientific paper

A proof of existence of stationary dark soliton solutions of the
cubic-quintic nonlinear Schr\"{o}dinger equation with a periodic potential is
given. It is based on the interpretation of the dark soliton as a heteroclinic
on the Poincar\'e map.

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