(8)Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics
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M. Mamun Miaha, Aly R. Seadawyb,c,∗ , H.M. Shahadat Alid, M. Ali Akbare
a Department of Mathematics, Khulna University of Engineering & Technology, Bangladesh
b Mathematics Department, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
c Department of Mathematics, Beni-Suef University, Egypt
d Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh
e Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh
Received 3 November 2019; received in revised form 26 November 2019; accepted 26 November 2019
Available online 11 January 2020
Abstract
The propagation of waves in dispersive media, liquid flow containing gas bubbles, fluid flow in elastic tubes, oceans and gravity waves
in a smaller domain, spatio-temporal rescaling of the nonlinear wave motion are delineated by the compound Korteweg-de Vries (KdV)-
Burgers equation, the (2+1)-dimensional Maccari system and the generalized shallow water wave equation. In this work, we effectively
derive abundant closed form wave solutions of these equations by using the double (G
/G, 1/G)-expansion method. The obtained solutions
include singular kink shaped soliton solutions, periodic solution, singular periodic solution, single soliton and other solutions as well. We
show that the double (G
/G, 1/G)-expansion method is an efficient and powerful method to examine nonlinear evolution equations (NLEEs)
in mathematical physics and scientific application.
© 2020 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: Close form solutions; KdV-Burgers equation; The (2+1)-dimensional Maccari system; The generalized shallow water wave equation.