摘要
本文用新近提到的(G'/G)展开法首次尝试应用到变系数非线性发展方程中,并且以(2+1)维广义变系数KP方程为例,成功得到了精确解;然后又将该法进行新的改进,再一次对(2+1)维广变系数KP方程求解,获取了更多的解。通过许多算例验证,该展开法易于求解常系数非线性发展方程,而且对变系数非线性发展方程仍很实用、高效,具有广泛的应用前景。
In this paper,using the latest mention（G′/ G）-method first applied to solve variable coefficient equations and takes the（2＋1）-dimensional generalized KP equation with variable coeffcients as examples,which obtain the exact solutions successfully.Then to improve this expansion method,the new solution of the（2＋1）-dimcnsional generalized KP equation with variable cocfficicnts can be obtained successfully once again.Through many practical example,this expansion method is not only easy to solving often coefficient nonliear evolution equations,and for variable coefficient nonliear evolution equations are vary practical and efficient,and it has a broad prospect of application.
出处
《内蒙古工业大学学报（自然科学版）》
2011年第3期168-174,共7页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家教育部博士点基金资助项目(批准号:20070128001)
内蒙古自然科学基金资助项目(批准号:2010MS0115)
关键词
变系数非线性发展方程
精确解
(G'/G)展开法
(2+1)维广义圆柱KP方程
the nonlinear evolution equations with variable coefficient
exact solutions
the（G′/ G）-expansion method
（2＋1）-dimensional generalized Column KP equation.
