应用数学2003,Vol.16Issue(3):75-81,7.
关于发展方程的守恒率的一个标记
A Note on Conservation Law of Evolution Equation
摘要
Abstract
We study the connection between conservation laws of evolution equation and first inte-grals of equations for travelling wave. The connection is obtained based on techniques of differentialalgebra. Applying the result to Burgers equation and Burgers-KdV equation, we prove that both e-quations have only one conservation law. These results on PDE are obtained using the ODE′s approach.关键词
发展方程/守恒律/行波解/首次积分Key words
Evolution equation/Conservation law/Travelling wave solution/First integral分类
数理科学引用本文复制引用
雷锦志,晏平..关于发展方程的守恒率的一个标记[J].应用数学,2003,16(3):75-81,7.基金项目
Supported in part by the Nathinal 973 Project of China and the Excellent Personnel Supporting Plan of the Ministry of Education of China ()