• Application of the ($G'/G$)-expansion method for the Burgers, Burgers–Huxley and modiﬁed Burgers–KdV equations

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/076/06/0831-0842

• # Keywords

($G'/G$)-expansion method; Burgers equation; Burgers–Huxley equation; modiﬁed Burgers–KdV equation; travelling wave solutions.

• # Abstract

In this work, we present travelling wave solutions for the Burgers, Burgers–Huxley and modiﬁed Burgers–KdV equations. The ($G'/G$)-expansion method is used to determine travelling wave solutions of these sets of equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. It is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics.

• # Author Affiliations

1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

• # Pramana – Journal of Physics

Volume 96, 2022
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Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019