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.
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