A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations

Md Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar, Antonio Mastroberardino

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The purpose of this article is to present an analytical method, namely the improved F-expansion method combined with the Riccati equation, for finding exact solutions of nonlinear evolution equations. The present method is capable of calculating all branches of solutions simultaneously, even if multiple solutions are very close and thus difficult to distinguish with numerical techniques. To verify the computational efficiency, we consider the modified Benjamin–Bona–Mahony equation and the modified Korteweg-de Vries equation. Our results reveal that the method is a very effective and straightforward way of formulating the exact travelling wave solutions of nonlinear wave equations arising in mathematical physics and engineering.

Original languageEnglish (US)
Article number140038
JournalRoyal Society Open Science
Volume1
Issue number2
DOIs
StatePublished - Oct 2014

All Science Journal Classification (ASJC) codes

  • General

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