| 一个Bargmann系统与耦合Burgers族解的对合表示 |
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| 引用本文： | 斯仁道尔.一个Bargmann系统与耦合Burgers族解的对合表示[J].应用数学,1997,10(1):80-86. |
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| 作者姓名： | 斯仁道尔 |
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| 作者单位： | 内蒙师大数学系!呼和浩特，010022 |
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| 基金项目： | 内蒙古自治区自然科学基金 |
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| 摘 要： | 本文给出耦合Burgers族的换位表示，并通过对耦合Burgers族Lax系统的非线性化得到一个Bargmann系统，证明该系统为Liouville完全可积的，还给出耦合Burgers族解的对合表示.
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| 关 键 词： | 耦合Burgers族 换位表示 对合系 对合解 |
A Bargmann System and the Involutive Representation of Solution of the Coupled Burgers Hierarchies |
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| Sirendaoreji.A Bargmann System and the Involutive Representation of Solution of the Coupled Burgers Hierarchies[J].Mathematica Applicata,1997,10(1):80-86. |
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| Authors: | Sirendaoreji |
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| Abstract: | The commutator representations of the coupled Burgers hierarchy are presented.Through the nolinearization of Lax system of the coupled Burgers hierarchy, aBalgrnann system is obtained and is proved to be a completely integrable system inLiouvilie's sense. The involutive representations of soluhons for the coupled Bugers hierarchy are also given in this paper . |
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| Keywords: | Coupled Burgers hierarchy Commutator representation Involutive system Involutive solution |
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