Exact Periodic Wave Solutions to Some Nonlinear Evolution Equations

Abstract

In this paper, the extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions for nonlinear evolution equations arising in mathemat- ical physics. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions are obtained. The method is applicable to a large variety of nonlinear partial dif- ferential equations, as long as odd and even-order derivative terms do not coexist in the equation under consideration. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.