A Variety of Nonlinear Network Equations Generated from the Backlund Transformation for the Toda Lattice
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概要
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A Backlund transformation in the bilinear form is presented for the Toda equation. The Backlund transformation generates an important class of nonlinear evolution equations that exhibits N-soliton solutions. The equation reduces, in the special cases, to the Toda equation itself, the nonlinear self-dual network equation, the equation describing a Volterra system and a discrete Korteweg-de Vries equation. Physical meanings and properties of solitons of these equations are examined in detail. Special solutions are also given to the generated equation. Moreover, a relation between the Backlund transformation and the inverse scattering method, and a nonlinear transformation relating the Toda equation and the generated equation are presented.
- 理論物理学刊行会の論文
- 1976-09-30
著者
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Hirota Ryogo
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Satsuma Junkichi
Department Of Applied Mathematics And Physics Kyoto University
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Satsuma Junkichi
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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