Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method

Manjeet Sharma; Rajesh Kumar Gupta

doi:10.37256/cm.5120242434

Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method

Authors

Manjeet Sharma Department of Mathematics, School of Basic Sciences, Central University of Haryana, Mahendergarh, Haryana 123031, India
Rajesh Kumar Gupta Department of Mathematics, School of Basic Sciences, Central University of Haryana, Mahendergarh, Haryana 123031, India

DOI:

https://doi.org/10.37256/cm.5120242434

Keywords:

Benjamin-Bona-Mahoney-Burgers equation, Modified exp-function method,, Travelling wave solution.

Abstract

In this work, the Benjamin-Bona-Mahoney-Burgers equation is examined which includes the dual power law nonlinearity and diffraction term. The exact solutions of governing equation are obtained by exploting the modified exp-function method. For some specific values of constants, the obtained travelling wave soluions are dark soliton, periodic and singular in nature. Also, 3-D, 2-D and contour graphical representations of obtained solutions are displayed.

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Published

2023-10-09

How to Cite

Sharma M, Gupta RK. Exact Solutions of Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity by Modified Exp-Function Method. Contemp. Math. [Internet]. 2023 Oct. 9 [cited 2023 Dec. 3];5(1). Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2434

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Issue

Contemporary Mathematics, Volume 5 Issue 1 (2024)

Section

Research Article