| 新的Liouville完全可积的广义Burgers方程族及其Hamilton结构 |
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| 引用本文： | 闫振亚,张鸿庆.新的Liouville完全可积的广义Burgers方程族及其Hamilton结构[J].应用数学,1999,12(4):41-44. |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | 大连理工大学数学科学研究所!大连116024 |
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| 基金项目： | 国家自然科学基金，国家攀登计划 |
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| 摘 要： | 基于屠格式，从一个新的等谱问题，本文获得了一族广义Ｂｕｒｇｅｒｓ 方程及其Ｈａｍ ｉｌｔｏｎ 结构．最后证明了该族方程是Ｌｉｏｕｖｉｌｌｅ 完全可积的，并且有无穷多个彼此对合的公共守恒密度
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| 关 键 词： | 等谱问题 Burgers方程族 Hamilton结构 Liouville完全可积 守恒密度 |
New Liouville Completely Integrable Hierarchy of Generalized Burgers Equations and its Hamiltonian Structure |
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| Yan Zhenya.New Liouville Completely Integrable Hierarchy of Generalized Burgers Equations and its Hamiltonian Structure[J].Mathematica Applicata,1999,12(4):41-44. |
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| Authors: | Yan Zhenya |
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| Abstract: | In this paper, based on Tu scheme, a hierarchy of generalized Burgers equations and its Hamiltonian structure are obtained from a new isospectral problem. Finally, it is shown that this equation hierarchy is Liouville completely integrable and has a infinite set of common conserved denities which are in involution each another. |
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| Keywords: | Isospectral problem Hierarchy of Burgers equation Hamiltonian structure Conserved denity Liouville completely integrable |
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