(G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation

E. V. Krishnan; M. Al Ghabshi; M. Alquran

(G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation

E. V. Krishnan^*, M. Al Ghabshi, M. Alquran

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper deals with the exact solutions of a nonlinear coupled wave equation. The (G^'/G)-expansion method has been applied to derive kink solutions and singular wave solutions. The restrictions on the coefficients of the governing equations have also been investigated. Solitary wave solutions have also been derived for this system of equations using the Weierstrass elliptic function method.

Original language	English
Pages (from-to)	512-522
Number of pages	11
Journal	Nonlinear Dynamics and Systems Theory
Volume	19
Issue number	4
Publication status	Published - 2019

Keywords

(G'/G)-expansion method
Coupled wave equation
Jacobi
Kink wave solutions
Singular wave solutions
Solitary wave solutions
Weierstrass elliptic functions

ASJC Scopus subject areas

Mathematical Physics
Applied Mathematics

Cite this

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title = "(G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation",

abstract = "This paper deals with the exact solutions of a nonlinear coupled wave equation. The (G'/G)-expansion method has been applied to derive kink solutions and singular wave solutions. The restrictions on the coefficients of the governing equations have also been investigated. Solitary wave solutions have also been derived for this system of equations using the Weierstrass elliptic function method.",

keywords = "(G'/G)-expansion method, Coupled wave equation, Jacobi, Kink wave solutions, Singular wave solutions, Solitary wave solutions, Weierstrass elliptic functions",

author = "Krishnan, {E. V.} and {Al Ghabshi}, M. and M. Alquran",

note = "Publisher Copyright: {\textcopyright} 2019 InforMath Publishing Group/",

year = "2019",

language = "English",

volume = "19",

pages = "512--522",

journal = "Nonlinear Dynamics and Systems Theory",

issn = "1562-8353",

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T1 - (G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation

AU - Krishnan, E. V.

AU - Al Ghabshi, M.

AU - Alquran, M.

PY - 2019

Y1 - 2019

N2 - This paper deals with the exact solutions of a nonlinear coupled wave equation. The (G'/G)-expansion method has been applied to derive kink solutions and singular wave solutions. The restrictions on the coefficients of the governing equations have also been investigated. Solitary wave solutions have also been derived for this system of equations using the Weierstrass elliptic function method.

AB - This paper deals with the exact solutions of a nonlinear coupled wave equation. The (G'/G)-expansion method has been applied to derive kink solutions and singular wave solutions. The restrictions on the coefficients of the governing equations have also been investigated. Solitary wave solutions have also been derived for this system of equations using the Weierstrass elliptic function method.

KW - (G'/G)-expansion method

KW - Coupled wave equation

KW - Jacobi

KW - Kink wave solutions

KW - Singular wave solutions

KW - Solitary wave solutions

KW - Weierstrass elliptic functions

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M3 - Article

AN - SCOPUS:85078633298

SN - 1562-8353

VL - 19

SP - 512

EP - 522

JO - Nonlinear Dynamics and Systems Theory

JF - Nonlinear Dynamics and Systems Theory

IS - 4

ER -

(G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation

Abstract

Keywords

ASJC Scopus subject areas

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