Application of the Novel (G′/G)-Expansion Method to the Regularized Long Wave Equation

Md. Nur Alam; Fethi Bin Muhammad Belgacem

Waves, Wavelets and Fractals (2015)

  • Volume: 1, Issue: 1
  • ISSN: 2449-5557

Abstract

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In this paper we investigate the regularized long wave equation involving parameters by applying the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained in this manuscript may be imperative and significant for the explanation of some practical physical phenomena. The performance of this method is reliable, useful, and gives us more new exact solutions than the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion method, the improved (G′/G)-expansion method, the generalized and improved (G′/G)-expansion method etc. The obtained traveling wave solutions including solitons and periodic solutions are presented through the hyperbolic, the trigonometric and the rational functions. The method turns out to be a powerful mathematical tool and a step foward towards, albeit easily and yet efficiently, solving nonlinear evolution equations.

How to cite

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Md. Nur Alam, and Fethi Bin Muhammad Belgacem. "Application of the Novel (G′/G)-Expansion Method to the Regularized Long Wave Equation." Waves, Wavelets and Fractals 1.1 (2015): null. <http://eudml.org/doc/276710>.

@article{Md2015,
abstract = {In this paper we investigate the regularized long wave equation involving parameters by applying the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained in this manuscript may be imperative and significant for the explanation of some practical physical phenomena. The performance of this method is reliable, useful, and gives us more new exact solutions than the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion method, the improved (G′/G)-expansion method, the generalized and improved (G′/G)-expansion method etc. The obtained traveling wave solutions including solitons and periodic solutions are presented through the hyperbolic, the trigonometric and the rational functions. The method turns out to be a powerful mathematical tool and a step foward towards, albeit easily and yet efficiently, solving nonlinear evolution equations.},
author = {Md. Nur Alam, Fethi Bin Muhammad Belgacem},
journal = {Waves, Wavelets and Fractals},
keywords = {Novel (G′/G)-expansion method; the generalized regularized long wave equation; auxiliary nonlinear ordinary differential equation; homogeneous balance; travelling wave solutions},
language = {eng},
number = {1},
pages = {null},
title = {Application of the Novel (G′/G)-Expansion Method to the Regularized Long Wave Equation},
url = {http://eudml.org/doc/276710},
volume = {1},
year = {2015},
}

TY - JOUR
AU - Md. Nur Alam
AU - Fethi Bin Muhammad Belgacem
TI - Application of the Novel (G′/G)-Expansion Method to the Regularized Long Wave Equation
JO - Waves, Wavelets and Fractals
PY - 2015
VL - 1
IS - 1
SP - null
AB - In this paper we investigate the regularized long wave equation involving parameters by applying the novel (G′/G)-expansion method together with the generalized Riccati equation. The solutions obtained in this manuscript may be imperative and significant for the explanation of some practical physical phenomena. The performance of this method is reliable, useful, and gives us more new exact solutions than the existing methods such as the basic (G′/G)-expansion method, the extended (G′/G)-expansion method, the improved (G′/G)-expansion method, the generalized and improved (G′/G)-expansion method etc. The obtained traveling wave solutions including solitons and periodic solutions are presented through the hyperbolic, the trigonometric and the rational functions. The method turns out to be a powerful mathematical tool and a step foward towards, albeit easily and yet efficiently, solving nonlinear evolution equations.
LA - eng
KW - Novel (G′/G)-expansion method; the generalized regularized long wave equation; auxiliary nonlinear ordinary differential equation; homogeneous balance; travelling wave solutions
UR - http://eudml.org/doc/276710
ER -

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