THE GENERALIZED KUDRYASHOV METHOD TO SOLVE SOME COUPLED NONLINEAR EVOLUTION EQUATIONS

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Published: 2015-04-13

Page: 104-121


Md. SHAFIQUL ISLAM

Department of Mathematics, Pabna University of Science & Technology, Pabna-6600, Bangladesh.

KAMRUZZAMAN KHAN *

Department of Mathematics, Pabna University of Science & Technology, Pabna-6600, Bangladesh.

M. ALI AKBAR

Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh.

*Author to whom correspondence should be addressed.


Abstract

The paper studies the generalized Kudryashov method looking for the exact traveling wave solutions of two coupled nonlinear evolution equations (NLEEs), such as the coupled (1+1)-dimensional Broer-Kaup (BK) equations and the (1+1)-dimensional Dispersive Long Wave (DLW) equations. New explicit solutions are discovered in exponential form to the studied equations through generalized Kudryashov method. The richness of the behavior of the obtained solutions is such that there continues to be ongoing analytical studies of NLEEs through generalized Kudryashov method. Moreover, it is revealed that in the physical science and engineering difficulties for seeking the exact solution of the NLEEs the current method is very influential and straight forward.

Keywords: Generalized Kudryashov method, BK equation, DLW equation, exact solution, NLEEs


How to Cite

ISLAM, M. S., KHAN, K., & AKBAR, M. A. (2015). THE GENERALIZED KUDRYASHOV METHOD TO SOLVE SOME COUPLED NONLINEAR EVOLUTION EQUATIONS. Asian Journal of Mathematics and Computer Research, 3(2), 104–121. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/111

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