Tanh函数法的推广及应用

An Extension of the Hyperbolic Tangent Function Method and Its Application

通过直接假设解的形式,推广了T anh函数法,作为应用,求出了组合K dV-mK dV方程ut+2αuux+3βu2ux+γuxxx=0的更多精确解.

An extension of the hyperbolic tangent function method is made for finding exact solutions of nonlinear differential equations. As an application, some new exact solutions of the combined KdV-mKdV equation ut＋2αuux＋3βu^2ux＋γuxxx=0 are obtained.