Journal of Prime Research in Mathematics
Vol. 16 (2020), Issue 2, pp. 16 – 26
ISSN: 1817-3462E (Online) 1818-5495 (Print)
ISSN: 1817-3462E (Online) 1818-5495 (Print)
The new auxiliary method in the solution of the generalized Burgers-Huxley equation
Muhammad Asim Khan
School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia.
M. Ali Akbar
Department of Applied Mathematics, University of Rajshahi, Bangladesh.
Norhashidah Hj. Mohd. Ali
School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia.
Muhammad Abbas
Department of Mathematics, University of Sargodha, 40100 Sargodha, Pakistan.
\(^{1}\)Corresponding Author: asim.afg@gmail.com
School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia.
M. Ali Akbar
Department of Applied Mathematics, University of Rajshahi, Bangladesh.
Norhashidah Hj. Mohd. Ali
School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia.
Muhammad Abbas
Department of Mathematics, University of Sargodha, 40100 Sargodha, Pakistan.
\(^{1}\)Corresponding Author: asim.afg@gmail.com
Copyright © 2020 Muhammad Asim Khan, M. Ali Akbar, Norhashidah Hj. Mohd. Ali, Muhammad Abbas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2020
Abstract
A recently developed direct method known as the new auxiliary method shown significant improvement for solving non-leaner partial differential equations (PDEs) and gives more exact solutions compared to the traditional direct method. In this paper, we used the new auxiliary method for solitary wave solutions of the generalized Burgers Huxley equation (B-HE). The new auxiliary method is a very powerful, felicitous, effective method to get solitary wave solutions of PDEs.
Keywords:
The new auxiliary method, the generalized Burgers Huxley equation, exact solution.