| 一个经典的可积Neumann系统和Boussinesq族Lax对的非线性化 |
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| 引用本文： | 许太喜,查中伟.一个经典的可积Neumann系统和Boussinesq族Lax对的非线性化[J].应用数学,1994,7(3):264-268. |
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| 作者姓名： | 许太喜 查中伟 |
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| 作者单位： | 石家庄铁道学院 050043
(许太喜，牟卫华)，葛洲坝水电工程学院 443002(查中伟) |
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| 摘 要： | 本文在位势与特征函数之间的Neumann约束条件下,经典Boussinesq族的Lax对被非线性化成为自然相容的Lax系统;而且,其为Liouville完全可积的Hamiltonian系统,同时获得了Boussinesq方程解的对合表示。
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| 关 键 词： | 约束条件 对合系统 Liouville完全可积 |
A Classical Integrable Neumann System and the Nonlinearization of the Lax Pair for Classical Boussinesq Hierarchy |
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| Xu Taixi Mu Weihua.A Classical Integrable Neumann System and the Nonlinearization of the Lax Pair for Classical Boussinesq Hierarchy[J].Mathematica Applicata,1994,7(3):264-268. |
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| Authors: | Xu Taixi Mu Weihua |
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| Institution: | Xu Taixi Mu Weihua
(Shi jiazhuang Institute of Railway 050043)
Zha Zhongwei
(Gezhouba Institute of Hyaroelectric Engineering 443002) |
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| Abstract: | Under the C. Neumann constraint condition between the potentials and the eigenfunctions,the Lax pair for classical Boussinesq hierarchy is nonlinearized to be a naturally consistent Lax system. Furthermore,which are completely integrable Hamiltonian systems in Liouville sense. The in-volutive representation of solutions of classical Boussinesq equation is obtained. |
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| Keywords: | Constraint condition Involutive system Completely integrable in Liou-ville sense |
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