Explicit One-Soliton Solutions of the 1+1 Dimensional Toda Molecule Equation and Their Large Molecule Limit of the Infinite Toda Lattice
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We have obtained the explicit one-soliton solutions of the 1 -F- 1 dimensional Todamolecule eq uation , (d / 8 t )' No g V( n , t ) - V ( n l- 1 , t ) -F- 2 V ( n , t ) - V ( n - l , t ) = 0 , consisting of arbitrary number of particles which satisfy the molecule boundary condilion V(n, t)=0at n= -M' and M" (M', M"; arbitrary positive integer constants).It has been shown that for the properly chosen values of arbitrary constantparameters and the large m olecule limit, the present Toda molecule one-soliton solulions actually reproduce the well known infinite Toda lattice one-soliton solutions.Toda molecule, Toda lattice, soliton, Gauss hyper geometric function
- 社団法人日本物理学会の論文
- 1990-12-15
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