Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotic

Abstract

In this paper, we give a proof of the existence of stationary dark soliton solutions or heteroclinic orbits of nonlinear equations of Schrödinger type with periodic inhomogeneous nonlinearity. The result is illustrated with examples of dark solitons for cubic and photorefractive nonlinearities.

References in corpus (4)

• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
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• Dark solitons in external potentials
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Cited by in corpus (2)

• Localized modes and dark solitons sustained by nonlinear defects
• On the existence of dark solitons of the cubic nonlinear Schrodinger equation with periodic inhomogeneous nonlinearity