Closed form solutions of two nonlinear equation via the enhanced (G′/G)-expansion method

Abstract The enhanced (G′/G)-expansion method is highly effective and competent mathematical tool to examine exact traveling wave solutions of nonlinear evolution equations (NLEEs) arising in mathematical physics, applied mathematics, and engineering. Exact solutions of NLEEs play an important role to comprehend the obscurity of intricate physical phenomena. In this article, the enhanced (G′/G)-expansion method is suggested and executed to construct exact solutions of the first extended fifth order non-linear equation and the medium equal width equation. The solutions are presented in terms of the hyperbolic and the trigonometric functions involving free parameters. It is shown that the proposed method is effective and can be used for many other NLEEs in mathematical physics.

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