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

作者：Islam Md Shafiqul; Khan Kamruzzaman^*; Akbar M Ali; Mastroberardino Antonio

来源：Royal Society Open Science, 2014, 1(2): UNSP 140038.

DOI：10.1098/rsos.140038

• improved F-expansion method
• modified Benjamin-Bona-Mahony equation
• modified Korteweg-de Vries equation
• exact solution
• NLEEs

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.

• 出版日期2014-10