| 耦合Sinh-Gordon方程与Hirota-Satsuma方程无穷多守恒律之间的关联 |
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| 引用本文： | 殷春浩,管习文,熊庄. 耦合Sinh-Gordon方程与Hirota-Satsuma方程无穷多守恒律之间的关联[J]. 四川师范大学学报(自然科学版), 1991, 0(4) |
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| 作者姓名： | 殷春浩 管习文 熊庄 |
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| 作者单位： | 四川师范大学物理系，四川师范大学物理系，四川师范大学物理系 |
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| 摘 要： | 本文证明,耦合Sinh-Gordon方程与Hirota-Satsuma方程的守恒量的无穷集可以通过一个简单的替换彼此关联起来.此外,我们还证明,这两个守恒量无穷集可以转化为一个用扩展Virasoro代数的生成元表示的经典对易算符的无穷集.
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| 关 键 词： | 耦合Sinh-Gordon方程 Hirota-Satsuma方程 无穷多守恒律 扩展Virasoro代数 Lax表述 |
CONNECTION BETWEEN INFINITE CONSERVATION LAWS IN A COUPLED SINH-GORDON EQUATION AND TEH HIROTA-SATSUMA SYSTEM |
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| Yin Chunhao Guan Xiwen Xiong zhuang. CONNECTION BETWEEN INFINITE CONSERVATION LAWS IN A COUPLED SINH-GORDON EQUATION AND TEH HIROTA-SATSUMA SYSTEM[J]. Journal of Sichuan Normal University(Natural Science), 1991, 0(4) |
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| Authors: | Yin Chunhao Guan Xiwen Xiong zhuang |
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| Affiliation: | Department of Physics |
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| Abstract: | It is shown that an infinite sequence of conserved quantities in both a coupled Sinh-Gordon system and Hirota-Satsuma system is interrelated via a simple substitution. Further,this result is found to be related with the fact that these two sequences may be transformed into a single infinite sequence of classically commuting operators expressed in terms of the generators of an extended Virasoro algebra. |
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| Keywords: | coupled Sinh-Gordon equation Hirota-Satsuma equation infinite conservation laws extended Virasoro algebra Lax representation. |
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