On the Hirota Representation of Soliton Equations with One Tau-Function
On the Hirota Representation of Soliton Equations with One Tau-Function
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DOI：
10.1143/jpsj.70.605
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发表时间：
2001-03
影响因子：
1.7
通讯作者：
F. Lambert;I. Loris;J. Springael;R. Willox
中科院分区：
文献类型：
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作者：
F. Lambert;I. Loris;J. Springael;R. Willox
针对各种孤子方程，包括 sine-Gordon 方程和 Tzitzeica 方程，导出了用单个 tau 函数表示的替代 Hirota 表示。简要讨论了这些表示与可积层次结构的已知双线性表示的相关性。给出了推导方法的要点。
Alternative Hirota representations in terms of a single tau-function are derived for a variety of soliton equations, including the sine-Gordon and the Tzitzeica equations. The relevance of these representations with respect to known bilinear representations of integrable hierarchies is briefly discussed. The essentials of the derivation method are presented.