一族耦合Kaup-Newell方程及其相伴可积哈密顿系统 |
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引用本文: | 蒋巧云,袁邢华.一族耦合Kaup-Newell方程及其相伴可积哈密顿系统[J].南通大学学报(自然科学版),2011,10(3):83-86. |
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作者姓名: | 蒋巧云 袁邢华 |
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作者单位: | 南通大学理学院,江苏南通,226007 |
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基金项目: | 南通大学自然科学基金项目(10Z010) |
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摘 要: | 通过引入一个含4个位势的4×4矩阵谱问题,得到一个新的非线性发展方程族,其中较有意义的一个方程是耦合Kaup-Newell方程.在某个约束条件下,通过特征值问题的非线性化方法,得到了Liouville意义下耦合Kaup-Newell方程新的可积哈密顿系统.
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关 键 词: | 耦合Kaup-Newell方程 可积哈密顿系统 Lax对非线性化 |
A Hierarchy of Coupled Kaup-Newell Equations and the Associated Integrable Hamiltonian System |
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Authors: | JIANG Qiao-yun YUAN Xing-hua |
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Institution: | JIANG Qiao-yun,YUAN Xing-hua(School of Sciences,Nantong University,Nantong 226007,China) |
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Abstract: | By introducing a 4 × 4 matrix spectral problem with four potentials, a hierarchy of nonlinear evolution is derived; a meaningful equation in the hierarchy is a coupled Kaup-Newelluation. Through the nonlinearization of eigenvalue problems and an additional constraint, a new tegrable Hamiltonian system is presented in the sense of Liouville. |
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Keywords: | coupled Kaup-Newell equation intergrable Hamiltonian system nonlinearization of Lax pairs |
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