摘要
本文给出了寻找适当的辅助方程的一种较一般化的方法,通过这种方法可以得到一系列的辅助方程,利用这些辅助方程又可以构造出非线性发展方程的许多精确孤波解.作为应用,本文给出了K dV方程守恒形式〔1〕,即五阶K dV方程的求解过程,并得到了此方程的六十八个孤波解.
In this paper, with （NLEES）,a method for finding a a view to getting exact solution for kind of general auxiliary equation is nonlinear evolution equations devised. A series of auxiliary equations for such use are found. And,many exact solutions of the NLEES are worked out with the help of these auxiliary equations. In illustration of the use of the method, it is applied to the solution of a fifth order KdV equation. Sixty eight exact solutions are obtained successfully.
出处
《内蒙古工业大学学报（自然科学版）》
2006年第3期161-167,共7页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家自然科学基金项目(No.10461005)
内蒙古111人才工程和教育厅重点领域项目(ZL01008)资助
关键词
辅助方程
符号计算
非线性发展方程
孤波解
auxiliary equation
symbolic computation
nonlinear evolution equations
solitary wave solutions
