An Elementary Introduction to Sato Theory
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概要
- 論文の詳細を見る
An elementary introduction to Sato theory is given. Starting with an ordinary differential equation, introducing an infinite number of time variables, and imposing a certain time dependence on the solutions, we obtain the Sato equation which governs the time development of the variable coefficients. It is shown that the generalized Lax equation, the Zakharov-Shabat equation and the IST scheme are generated from the Sato equation. It is revealed that the τ-function becomes the key function to express the solutions of the Sato equation. By using the results of the representation theory of groups, it is shown that the τ-function is governed by the partial differential equations in the bilinear forms which are closely related to the Plucker relations.
- 理論物理学刊行会の論文
- 1988-08-30
著者
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Takahashi Daisuke
Department of Materials Science and Technology, Niigata University
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OHTA Yasuhiro
Department of Physics, School of Science, The University of Tokyo
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TOKIHIRO Tetsuji
Department of Applied Physics,University of Tokyo
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Takahashi D
Waseda Univ. Tokyo
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SATSUMA Junkichi
Department of Applied Physics, Faculty of Engineering University of Tokyo
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Satsuma Junkichi
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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Takahashi Daisuke
Department Of Applied Chemistry Faculty Of Science And Technology Keio University
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Tokihiro Tetsuji
Department Of Applied Physics Unibersity Of Tokyo
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Satsuma Junkichi
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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Ohta Yasuhiro
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Ohta Yasuhiro
Department Of Applied Physics Faculty Of Engineering University Of Tokyo
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Takahashi Daisuke
Department Of Applied Mathematics And Informaties Faculty Of Science And Technology Ryukoku Universi
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OHTA Yasuhiro
Department of Applied Physics, Faculty of Engineering University of Tokyo
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TOKIHIRO Tetsuji
Department of Applied Physics, Faculty of Engineering University of Tokyo
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