Double Exp-function Method and Application

A travelling wave of a nonlinear evolution equations is always coupled with different velocities and different frequencies. This paper proposes a double Exp-function method, an extension of the Exp-function method, for seeking exact solitary solutions with double velocities and double frequencies. Burgers equation is used as an example to illustrate the effectiveness of the suggested method, which has potential applications for other types of nonlinear evolution equations.

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