Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach

TLDR: In this paper, the authors applied the improved tan (ξ )/ 2-expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equa- tions andexactparticularsolutions have been found.

Abstract: In this paper, we applied the improved tan (�(ξ )/ 2)-expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equa- tionsandexactparticularsolutionshavebeenfound.Theexactparticularsolutionscontaining four types hyperbolic function solution, trigonometric function solution, exponential solu- tion and rational solution. We obtained the further solutions comparing with other methods as sine-cosine function method (Qawasmeh in J Math Comput Sci 3:1475-1480, 2013). Recently this method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that this method, with the help of symbolic com- putation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.