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

In this paper, we applied the improved tan ϕ (ξ)/2)-expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equations and exact particular solutions have been found. The exact particular solutions containing four types hyperbolic function solution, trigonometric function solution, exponential solution 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 computation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.