Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity

Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity

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) w...

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Main Author: K. S. Al-Ghafri
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2019/6143102
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spelling doaj-1165d4c26890490c855a67d6000b91aa2020-11-25T00:41:12ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/61431026143102Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law NonlinearityK. S. Al-Ghafri0Ibri College of Applied Sciences, Ministry of Higher Education, P.O. Box 14, Ibri 516, OmanIn 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.http://dx.doi.org/10.1155/2019/6143102
collection DOAJ
language English
format Article
sources DOAJ
author K. S. Al-Ghafri
spellingShingle K. S. Al-Ghafri
Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
Journal of Applied Mathematics
author_facet K. S. Al-Ghafri
author_sort K. S. Al-Ghafri
title Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
title_short Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
title_full Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
title_fullStr Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
title_full_unstemmed Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
title_sort different physical structures of solutions for a generalized resonant dispersive nonlinear schrödinger equation with power law nonlinearity
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/6143102
work_keys_str_mv AT ksalghafri differentphysicalstructuresofsolutionsforageneralizedresonantdispersivenonlinearschrodingerequationwithpowerlawnonlinearity
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