New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method

Large varieties of physical, chemical, and biological phenomena are governed by nonlinear partial differential equations. Solving nonlinear equations may guide authors to know the described process deeply and sometimes leads them to know some facts that are not simply understood through common observations. The investigation of exact solutions of nonlinear partial differential equations plays an important role in mathematics and physics. A variety of powerful methods have been developed for obtaining approximate and exact solutions for various nonlinear equations like sine-cosine method [1], Adomian decomposition method [2], variational iteration method [3 – 6], F-expansion method [7], tanh-function method [8, 9], homotopy perturbation method [10], homotopy analysis method [11, 12], and so on. In this paper, we consider the (2+1)-dimensional Chaffee-Infante equation in the following form: