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New generalized (G' or G) -expansion method in investigating the traveling wave solutions to the typical breaking soliton and the Benjamin-Bona-Mahony equations

Md. Nur Alam, Y.A. Stepanyants

Abstract


This article extracts the new exact traveling wave solutions to nonlinear evolution equations (NLEEs) that arise in mathematical physics by using the new generalized (G' or G)-expansion method. The NLEEs under this investigation, we have considered the (2+1)-dimensional typical breaking soliton equation and the (1+1)-dimensional Benjamin-Bona-Mahony equation. The obtained solutions to these equations are expressed in terms of hyperbolic, trigonometric and rational functions, which are very useful in analyzing the nonlinear propagation in any natural varied instances. It is well-known that the new generalized (G'or G)-expansion method offers a further influential mathematical tool for constructing exact traveling wave solutions of NLEEs in mathematical physics and engineering.

Keywords


New generalized (G' or G)-expansion method, (2+1)-dimensional typical breaking soliton equation, (1+1)-dimensional Benjamin-Bona-Mahony equation, traveling wave solutions, solitary wave solutions.

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