Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Marwan Alquran; Edamana V. Krishnan

Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Marwan Alquran^*, Edamana V. Krishnan

^*Corresponding author for this work

Mathematics & Statistics

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

12 Citations (Scopus)

Abstract

This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

Original language	English
Pages (from-to)	639-649
Number of pages	11
Journal	Nonlinear Studies
Volume	23
Issue number	4
Publication status	Published - 2016

Keywords

Sine-Gordon expansion method
The generalized regularized long wave equation
The PHI-four equation

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

@article{a21f0cc7c0e8498eb0bfcd047a3f67e6,

title = "Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations",

abstract = "This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.",

keywords = "Sine-Gordon expansion method, The generalized regularized long wave equation, The PHI-four equation",

author = "Marwan Alquran and Krishnan, {Edamana V.}",

year = "2016",

language = "English",

volume = "23",

pages = "639--649",

journal = "Nonlinear Studies",

issn = "1359-8678",

publisher = "Cambridge Scientific Publishers Ltd",

number = "4",

}

TY - JOUR

T1 - Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

AU - Alquran, Marwan

AU - Krishnan, Edamana V.

PY - 2016

Y1 - 2016

N2 - This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

AB - This aim of this paper is threefold. A survey of trigonometric-hyperbolic function methods for constructing solitary wave solutions of nonlinear equations. Further analysis of the sine-Gordon expansion method. Studying the solution of the generalized PHI-four equation and the generalized regularized long wave equation by using a special transformation derived from the Sine-Gordon equation.

KW - Sine-Gordon expansion method

KW - The generalized regularized long wave equation

KW - The PHI-four equation

UR - http://www.scopus.com/inward/record.url?scp=85007591270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85007591270&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85007591270

SN - 1359-8678

VL - 23

SP - 639

EP - 649

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 4

ER -

Applications of sine-gordon expansion method for a reliable treatment of some nonlinear wave equations

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this