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On kink and anti-kink wave solutions of Schrodinger equation with distributed delay

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This paper deals with existence problem of traveling wave solutions of a class of nonlinear Schrödinger equation having distributed delay with a strong generic kernal. By using the geometric singular… Click to show full abstract

This paper deals with existence problem of traveling wave solutions of a class of nonlinear Schrödinger equation having distributed delay with a strong generic kernal. By using the geometric singular perturbation theory and the Melnikov function method, we establish results of the existence of kink and anti-kink wave solutions of the nonlinear Schrödinger equation with time delay when the average delay is sufficiently small.

Keywords: distributed delay; wave solutions; equation distributed; delay; kink

Journal Title: Journal of Applied Analysis and Computation
Year Published: 2018

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