(5) Novel solitary wave solution in shallow water and ion acoustic plasma waves in-terms of two nonlinear models via MSE method

Harun-Or Roshid
Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh

Received 5 July 2017; accepted 28 July 2017
Available online 23 August 2017

Abstract
By using modified simple equation method, we study the generalized RLW equation and symmetric RLW equation, the subsistence of solitary wave, periodic cusp wave, periodic bell wave solutions are obtained. We establish some conditions on the parameters for which the obtained solutions are dark or bright soliton. The proficiency of the methods for constructing exact solutions has been established. Finally, the variety of structure and graphical representation makes the dynamics of the equations visible and provides the mathematical foundation in shallow water, plasma and ion acoustic plasma waves.
© 2017 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
Keywords: The modified simple equation method; The gRLW equation; The symmetric RLW equation; Periodic cusp wave solutions; Periodic bell wave
solutions.