Exact solitary wave solutions of a nonlinear Schrödinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice

doi:10.1088/1674-1056/27/12/126303

Abstract

In this paper, we introduce and propose exact and explicit analytical solutions to a novel model of the nonlinear Schrödinger (NLS) equation. This model is derived as the equation governing the dynamics of modulated cutoff waves in a discrete nonlinear electrical lattice. It is characterized by the addition of two terms that involve time derivatives to the classical equation. Through those terms, our model is also tantamount to a generalized NLS equation with saturable; which suggests that the discrete electrical transmission lines can potentially be used to experimentally investigate wave propagation in media that are modeled by such type of nonlinearity. We demonstrate that the new terms can enlarge considerably the forms of the solutions as compared to similar NLS-type equations. Sine-Gordon expansion-method is used to derive numerous kink, antikink, dark, and bright soliton solutions.

Keywords: nonlinear Schrö dinger equation, nonlinear time derivative terms, saturable nonlinearity, exact solitary solutions

Received: 10 August 2018
Revised: 26 September 2018
Accepted manuscript online:

PACS:

63.20.Pw

(Localized modes)

Corresponding Authors: Serge Bruno Yamgou
E-mail: sergebruno@yahoo.fr

Cite this article:

Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap Exact solitary wave solutions of a nonlinear Schrödinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice 2018 Chin. Phys. B 27 126303

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Exact solitary wave solutions of a nonlinear Schrödinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice

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