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Original Article

Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method

, &
Pages 1357-1376 | Received 30 Apr 2017, Accepted 31 May 2018, Published online: 26 Jun 2018
 

ABSTRACT

In this paper, we use the extended trial equation method (ETEM) to construct the exact solutions in many different functions such as the trigonometric function, elliptic integral function, rational function, hyperbolic function and Jacobi elliptic functions for nonlinear evolution equation in mathematical physics via the fifth-order modified nonlinear Kawahara equation. In this method, the balance number is not constant as we have shown in other methods, but it is changed by changing the trial equation derivative definition. This method is powerful, reliable, effective and simple for solving more complicated nonlinear partial differential equations in mathematical physics.

2010 MSC SUBJECT CLASSIFICATIONS:

Disclosure statement

No potential conflict of interest was reported by the authors.

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