Volume no :56, Issue no: 1, March (2019)

Journal of Mathematical Sciences: Advances and Applications

THE (3 + 1)-DIMENSIONAL FRACTIONAL MODIFIED KdV-ZAKHAROV-KUZNETSOV EQUATION BY USING THE IMPROVED GENERALIZED TANH-COTH METHOD

Author's: Montri Torvattanabun, Chantana Simtrakankul and Somjate Duangpithak
Pages: [53] - [65]
Received Date: March 22, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122040

Abstract

In this paper, the improved generalized tanh-coth method is used to establish exact travelling wave solutions of the (3 + 1)-dimensional fractional modified KdV-Zakharov-Kuznetsov equation. The fractional derivative version of Yang modified, linked with fractional complex transform is employed to reduce fractional differential equations into the corresponding ordinary differential equations. The results confirm that proposed method is reliability and effectiveness of the current method.

Keywords

the improved generalized tanh-coth method, exact travelling wave solutions, the (3+1)-dimensional fractional modified KdV-Zakharov-Kuznetsov equation.