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2019 Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
K. S. Al-Ghafri
J. Appl. Math. 2019: 1-8 (2019). DOI: 10.1155/2019/6143102

Abstract

In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions. The analytic solution of the resulting ODE gives rise to bright soliton, singular soliton, peaked soliton, compacton solutions, solitary pattern solutions, rational solution, Weierstrass elliptic periodic type solutions, and some other types of solutions. Constraint conditions for the existence of solitons and other solutions are given.

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K. S. Al-Ghafri. "Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity." J. Appl. Math. 2019 1 - 8, 2019. https://doi.org/10.1155/2019/6143102

Information

Received: 20 November 2018; Accepted: 19 January 2019; Published: 2019
First available in Project Euclid: 15 March 2019

zbMATH: 07051374
MathSciNet: MR3914271
Digital Object Identifier: 10.1155/2019/6143102

Rights: Copyright © 2019 Hindawi

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