Application of the simplest equation method to some time-fractional partial differential equations

In this paper, we establish exact solutions for some time fractional differential equations. The simplest equation method is used to construct the exact solutions of nonlinear fractional Klein–Gordon equation, Generalized Hirota–Satsuma coupled KdV system of time fractional order and nonlinear fractional Sharma–Tasso–Olever equation. The simplest equation method presents a wide applicability to handling nonlinear wave equations

Exact Soliton Solutions for Generalized Equal Width Equation

Abstract: The homogeneous balance method is used to construct exact travelling wave solutions of generalized equal width equation. Many exact travelling wave solutions of generalized equal width equation are successfully obtained, which contain soliton-like and periodic-like solutions. This method can be applied to nonintegrable equations as well as integrable ones