On the existence of dark solitons of the defocusing cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity

Author:

Sourdis Christos

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference13 articles.

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2. Existence of dark soliton solutions of the cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity;Belmonte-Beitia;J. Nonlinear Math. Phys.,2008

3. Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotics;Belmonte-Beitia;J. Math. Phys.,2011

4. Ph. Gravejat, D. Smets, Asymptotic stability of the black soliton for the Gross–Pitaevskii equation, Preprint, 2014, or hal-01002094.

5. Upper and lower solutions in the theory of ODE boundary value problems: classical and recent results;De Coster,1996

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1. Construction of solutions for some localized nonlinear Schrödinger equations;Discrete & Continuous Dynamical Systems - A;2019

2. The Heteroclinic Connection Problem for General Double-Well Potentials;Mediterranean Journal of Mathematics;2016-07-20

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