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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 5 | Year 2018 | Article Id. IJMTT-V56P543 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P543

Exact Solutions for a Compound KDV-Burgers Equation with Forcing Term


S. Balamurugan, S. Vigneshwaran
Abstract

The exact solutions of a compound KdV-Burgers equation with forcing term are obtained by using a homogeneous balance method. Moreover finding the solutions for compound KdV, mKdV-Burgers, KdVBurgers ,mKdV and KdV equations with forcing term . These are the particular important cases of that equation.

Keywords
Compound KdV-Burgers equation with forcing term; Homogeneous balance method; Exact solutions.
References

[1]. Wang Mingling,” solitary wave solutions for variant Boussinesq equations”, Phys. Lett. A 199 ,pp. 169- 172,1995 .
[2]. Jun Yu, “Dynamical behavior of the Forced compound Kdv-Burgres type equation with higher order nonlinear terms”, International journal of Nonlinear sciences and numerical simulation, 11(6): pp.451-455, 2010.
[3]. Reza Abazari, “Application of extended tanh function method on Kdv-Burgers equation with forcing term”, Rom.journ.m.phys.vol.59.Nos.1-2,pp.3-11,2014.
[4]. Yusuf Buba Chukkol,Mohat Nor Mugamad and Mukiddhin I . Muminov,” Exact solutions to KdV-. Burgers equation with forcing term using tanh-coth method”, AIP conference proceedings, 1870,040024-1-040024-5, 2017.
[5]. Taogetusang and Sirendaoerji, “The jacobi elliptic function –like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term”, Chinese phys, Vol 15, No. 12,pp.2809-2818 ,Dec 2006.
[6]. Sheng Zhang, “Exp-function method exactly solving a KdV equation with forcing term”, Applied Mathematics and computation,197, pp.128-137,2008.

Citation :

S. Balamurugan, S. Vigneshwaran, "Exact Solutions for a Compound KDV-Burgers Equation with Forcing Term," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 5, pp. 320-330, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P543

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