TRUNCATED EXPANSION METHOD AND NEW EXACT SOLITON-LIKE SOLUTION OF THE GENERAL VARIABLE COEFFICIENT KdV EQUATION
截断展开方法和广义变系数KdV方程新的精确类孤子解

By using of the special truncated expansion, the soliton-like solution of the generalized KdV equation with variable coefficients is obtained. In this method, the form solution is assumed as the truncated expansion form which is based on the idea that the generalized KdV equation with variable coefficients is reduced to a set of algebraic equations of undetermined functions, so that we can obtain a set of ordinary differential equations of undetermined functions which are easily integrated. An example is given to illustrated that this method is very effective in solving soliton-like solution of a large class of variable coefficient nonlinear evolution equations.