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In this paper, the modified simple equation method (MSEM) is applied to construct exact solutions of the generalized (2+1)-dimensional nonlinear evolution equations (NLEEs) involving parameters via the (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation, the (2+1)-dimensional breaking soliton equation and the (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation. The solitary wave...
This paper presents a new modification of He’s variational iteration method using Adomian’s polynomials (VIMAP) to solve reaction–diffusion system with fast reversible reaction. An auxiliary parameter is introduced into the VIMAP and optimally identified to adjust the convergence region of the approximate solution. The results reveal that the VIMAP is very accurate comparing with those obtained by...
In this paper, we applied the reduced differential transform method (RDTM) for solving two types of nonlinear partial differential equations, namely, generalized Drinfeld–Sokolov (gDS) equations and Kaup–Kupershmidt (KK) equation. Comparing the RDTM results with exact solutions shows that the RDTM is quite accurate, effective, reliable and can be applied for many other nonlinear partial differential...