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Application of the exp(-Φ(η)) expansion method for solving nonlinear TRLW and Gardner equations

M. G. Hafez, M. Y. Ali, M. K.H. Chowdury, M. A. Kauser


This article presents the new exact traveling wave solutions of the time regular long wave (TRLW) and Gardner equations. We apply the exp(-Φ(η))-expansion method to undertake this study. The exact traveling wave solutions are demonstrated in the form of exponential, hyperbolic, trigonometric and rational functions with some additional free parameters. This study further shows some solitary and periodic waves graphically. This paper also shows that the exp(-Φ(η))-expansion method is easily applicable and powerful mathematical tool in the symbolic computational approach in the field of mathematical physics and engineering. The exact solutions of these nonlinear evolution equations (NLEEs) play an important role for describing the internal mechanism of intricate physical phenomena.


The exp(-Φ(η))--expansion method, TRLW equation, Gardner equation and Exact Traveling wave solutions.

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