变系数广义KdV方程新的类孤波解和解析解

New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients

用普通Korteweg-de Vries(KdV)方程的解,构造变系数广义KdV方程的解,获得变系数广义KdV方程新的类孤波解和类Jacobi椭圆函数解.

Using the solution of general Korteweg-de Vries（KdV） equation, the solution of generalized KdV equation with variable coefficients was constructed. As a result, we successfully obtained a new soli tary wavelike solution and the Jacobi-elliptic function-like solution of generalized KdV equation with variable coefficients.