| 利用Noether法构造KP方程新的守恒律 |
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| 引用本文： | 陈晓艳.利用Noether法构造KP方程新的守恒律[J].西北轻工业学院学报,2012(5):126-128,138. |
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| 作者姓名： | 陈晓艳 |
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| 作者单位： | 西北大学数学系 |
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| 基金项目： | 国家自然科学基金项目(10671156) |
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| 摘 要： | 利用Noether法构造了KP方程新的守恒律,在KP方程允许的拉格朗日函数的情况下,利用Noether法研究了该方程的守恒律,给出了KP方程的Noether对称算子以及新的守恒向量和守恒律的分类结果.
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| 关 键 词： | KP方程 Noether对称算子 拉格朗日函数 守恒律 |
Constructing new conservation laws for KP equation by using Noether method |
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| CHEN Xiao-yan.Constructing new conservation laws for KP equation by using Noether method[J].Journal of Northwest University of Light Industry,2012(5):126-128,138. |
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| Authors: | CHEN Xiao-yan |
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| Affiliation: | CHEN Xiao-yan(Department of Mathematics,Northwest University,Xi′an 710127,China) |
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| Abstract: | In this paper,in terms of Noether approach,KP equation associated with Lagrange function is studied and its conservation laws are constructed.Then classification results of Noether-type symmetry,new conservation vectors and new conservation laws of the KP equation are obtained. |
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| Keywords: | KP equation Noether-type symmetry operator Lagrange function conservation laws |
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