Generalized Jacobi Elliptic Function Solution to a Class of Nonlinear Schrödinger‐Type Equations

Abstract

With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger‐type equations including the generalized Zakharov system, the Rangwala‐Rao equation, and the Chen‐Lee‐Lin equation are investigated, and the exact solutions are derived with the aid of the homogenous balance principle.