Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Improved F-Expansion in Mathematical Physics

Abstract

With the assistance of representative calculation programming, the present paper examines the careful voyaging wave arrangements from the general (2+1)-dimensional nonlinear development conditions by utilizing the Improved F-expansion strategy. As a result, the used technique is effectively utilized and recently delivered some definite voyaging wave arrangements. The recently created arrangements have been communicated as far as trigonometric and hyperbolic capacities. The created arrangements have been returned into their relating condition with the guide of emblematic calculation programming Maple. Among the produced solutions, some solutions have been visualized by 3D and 2D line graphs under the choice of suitable arbitrary parameters to show their physical interpretation. The delivered arrangements show the intensity of the executed technique to evaluate the accurate arrangements of the nonlinear (2+1)-dimensional nonlinear advancement conditions, which are reasonably pertinent for using nonlinear science, scientific material science and designing. The Improved F-expansion method is a reliable treatment for searching essential nonlinear waves that enrich a variety of dynamic models that arise in engineering fields.

Keywords

• the improve f-expansion scheme
• traveling wave solutions
• the general (2+1 )-dimensional nonlinear evolution equation