Study of Functional Variable Method for Finding Exact Solutions of Nonlinear Evolution Equations

Kamruzzaman KHAN; M. Ali AKBAR

Authors

Kamruzzaman KHAN Department of Mathematics, Pabna University of Science and Technology, Pabna 6600
M. Ali AKBAR Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205

Keywords:

Functional variable method, BKP equations, KO equations, exact solution, NLEEs

Abstract

A direct method, called the functional variable method, has been used to construct the exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics. To illustrate the validity and advantages of this method, the (2+1) dimensional Boussinesq-Kadomtsev-Petviashvili (BKP) equations and the new coupled Konno-Oono (KO) equations are considered. The obtained solutions contain an explicit function of the variables in the considered equations. It has been shown that the method provides a powerful mathematical tool for solving NLEEs in mathematical physics and engineering fields without the help of a computer algebra system.

doi:10.14456/WJST.2015.36

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Author Biographies

Kamruzzaman KHAN, Department of Mathematics, Pabna University of Science and Technology, Pabna 6600

Assistant Professor

Department of Mathematics

Pabna University of Science and Technology

Pabna-6600, Bangladesh

M. Ali AKBAR, Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205

Associate Professor

Department of Applied Mathematics

University of Rajshahi

Rajshahi-6205, Bangladesh

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