摘要
In this paper, the extended symmetry of generalized variable-coeFficient Kadomtsev-Petviashvili （vcKP） equation is investigated by the extended symmetry group method with symbolic computation. Then on the basis of the extended symmetry, we can establish relation among some different kinds of vcKP equations. Thus the exact solutions of these veKP equations can be constructed via the simple veKP equations or constant-coefficient KP equations.
基金
Supported by the National Natural Science Foundation of China under Grant No. 0735030
Zhejiang Provincial Natural Science Foundations of China under Grant No. Y6090592
National Basic Research Program of China (973 Program 2007CB814800)
Ningbo Natural Science Foundation under Grant No. 2008A610017 and K.C. Wong Magna Fund in Ningbo University
