Discrete Analogue of a Generalized Toda Equation
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概要
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A discrete analogue of a generalized Toda equation and its Backlund transformations are obtained. The equation is expressed with the bilinear form as follows [Z_1 exp (D_1)+Z_2 exp (D_2)+Z_3 exp (D_3)]f・f=0 where Z_i and D_i for i= 1 , 2, 3, are an arbitrary parameter and a linear combina-tion of the binary operators D_t, D_x, D_y, D_n, etc., resbectively. The equation is very generic, namely appropriate combinations of parameters give various types of soliton equations including the Korteweg-de Vries equation, Kadomtsev-Petviashvili equation, modified KdV equation, sine-Gordon equation, nonlinear Klein-Gordon equation, Benjamin-Ono equation and various types of discrete analogues of soli.ton equations.
- 社団法人日本物理学会の論文
- 1981-11-15
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