中文摘要：

采用一种线性隐格式来解广义非线性KdV方程，这种方法是无条件稳定的．数值实验描述了单个线性孤立子波运动的情形以及两个孤立子波交互的情形，结果表明，这种方法有很好的稳定性和精度．

英文摘要：

Computational method based on a hnearized implicit scheme was proposed for the solution of the generalized Kortewegde Vries （KdV） equation. An important advantage to be gained from the linearized implicit method is unconditional stable. Numerical results portraying a single line-soliton solution and the interaction of two hne-solitions were reported for the generalized KdV equation. The results show that this method has good stability, and accuracy.