Exact bell shaped solitary solutions for the generalized KdV and mKdV equations with variable coefficients are obtained by the use of truncated expansion method and extended homogeneous balance method.

• 利用截断展开法和延拓齐次平衡法同时求出了广义变系数KdV方程和广义变系数mKdV方程的精确钟状类孤子解 .