• Exact solutions of some physical models using the ($G'/G$)-expansion method

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/078/04/0513-0529

• # Keywords

Nonlinear evolution equation; soliton; kink–antikink solution.

• # Abstract

The ($G'/G$)-expansion method and its simpliﬁed version are used to obtain generalized travelling wave solutions of ﬁve nonlinear evolution equations (NLEEs) of physical importance, viz. the ($2+1$)-dimensional Maccari system, the Pochhammer–Chree equation, the Newell–Whitehead equation, the Fitzhugh–Nagumo equation and the Burger–Fisher equation. A variety of special solutions like periodic, kink–antikink solitons, bell-type solitons etc. can easily be derived from the general results. Three-dimensional proﬁle plots of some of the solutions are also drawn.

• # Author Affiliations

1. Department of Physics, Kurukshetra University, Kurukshetra 136 119, India

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 6
December 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019