A complex tanh-function method applied to nonlinear equations of Schrödinger type

A complex tanh-function method is introduced for constructing exact travelling wave solutions of nonlinear partial differential equations with complex phases and solutions. The scheme is implemented for obtaining multiple soliton solutions to the nonlinear cubic Schrödinger equation and a generalized Schrödinger-like equation. In additon. an ansätze is proposed to obtain stationary soliton solutions of the cubic Schrödinger equation.