Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
On the Solutions of the Linear Bäcklund Transformation of the Two-Dimensional Toda Lattice Equation
Fukuko YuasaNoriko SaitohÉi Iti Takizawa
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1987 年 56 巻 11 号 p. 3813-3820

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The two-dimensional Toda lattice (2DTL) system is reformulated in the gauge and dual symmetric scheme. The linear Bäcklund transformation (BT), or the duality equations presented here, is solved and the dual symmetry guarantees that the general solution of these equations maintain the general solution of the nonlinear 2DTL equation.

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