| Conservation Laws of K（m,n） and mK（m,n） Equations |
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| 作者姓名： | XIEFu-Ding GAOXiao-Shan LIUFeng |
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| 作者单位： | AcademyofMathematicsandSystemSciences,theChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | Based on the rank analysis method, algorithmization idea, and symbolic computation, in this paper we have presented a method to construct the conservation laws for nonlinear evolution equations. The polynomial conservation laws for K (n 2,n) equations and mK (m,n) equations are found by using of this approach and some new results have been obtained.
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| 关 键 词： | 守恒定律 符号运算 孤子方程 布松函数 非线性 |
| 收稿时间： | 2004-01-07 |
Conservation Laws of K(m,n) and mK(m,n) Equations |
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| XIEFu-Ding GAOXiao-Shan LIUFeng.Conservation Laws of K(m,n) and mK(m,n) Equations[J].Communications in Theoretical Physics,2004,42(5):661-663. |
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| Authors: | XIE Fu-Ding GAO Xiao-Shan LIU Feng |
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| Institution: | 1. Key Laboratory of Mathematics and Mechanization, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China
;2. Department of Computer Science, Liaoning Normal University,
Dalian 116029, China |
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| Abstract: | Based on the rank analysis method, algorithmization idea, and symbolic
computation, in this paper we have presented a method to construct
the conservation laws for nonlinear evolution equations. The polynomial
conservation laws for K(n+2,n) equations and mK(m,n) equations are
found by using of this approach and some new results have been obtained. |
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| Keywords: | conservation law K(m n) and mK(m n) equations symbolic computation |
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