| 关于Toda lattice方程族的非线性离散可积耦合 |
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| 引用本文： | 巩乃晓.关于Toda lattice方程族的非线性离散可积耦合[J].潍坊学院学报,2012,12(4):55-59. |
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| 作者姓名： | 巩乃晓 |
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| 作者单位： | 山东科技大学,山东青岛,266510 |
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| 摘 要： | 本文利用半单Lie代数和可解Lie代数的半直和得到了Toda lattice方程族的一个非线性离散的可积耦合,并借助变分恒等式得到了其方程族的Hamilton结构。
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| 关 键 词： | 可积耦合 变分恒等式 Hamilton结构 |
Nonlinear Discrete Integrable Hamiltonian Couplings Associated with Toda Lattice Hierarchy |
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| GONG Nai-xiao.Nonlinear Discrete Integrable Hamiltonian Couplings Associated with Toda Lattice Hierarchy[J].Journal of Weifang University,2012,12(4):55-59. |
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| Authors: | GONG Nai-xiao |
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| Institution: | GONG Nai-- xiao (Shandong University of Science and Technology, Qingdao 266510, China) |
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| Abstract: | Taking use of semi--direct sums of a semisimple Lie algebra and a solvable Lie algebra, nonlinear discrete integra ble couplings of Toda lattice hierarchy is constructed. And the Hamiltonian structure for the resulting discrete integrable cou plings by use of variational identities. |
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| Keywords: | integrable couplings variational identities hamiltonian structure |
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