Truncated expansion method and new exact soliton-like solution of the general variable coefficient KdV equation

By using of the special truncated expansion, the soliton-like solution of t he 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 coeff icients is reduced to a set of algebraic equations of undetermined function s, so that we can obtain a set of ordinary differential equations of undete rmined functions which are easily integrated. An example is given to illust rated that this method is very effective in solving soliton-like solution o f a large class of variable coefficient nonlinear evolution equations.