Eur. Phys. J. Plus (2017) 132: 9
https://doi.org/10.1140/epjp/i2017-11276-4

Regular Article

New exact solutions of time fractional modified Kawahara equations in modelling surface tension in shallow-water and capillary gravity water waves

National Institute of Technology, Department of Mathematics, 769008, Rourkela, India

^* e-mail: santanusaharay@yahoo.com

Received: 13 November 2016
Accepted: 29 November 2016
Published online: 12 January 2017

Abstract

In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics; namely time fractional modified Kawahara equations by using the ()-expansion method via fractional complex transform. As a result, new types of exact analytical solutions are obtained.