Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Linearization of Multi-Dimensional Toda Lattice and Bäcklund Transformation
Noriko Saitoh
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1986 Volume 55 Issue 2 Pages 435-437

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Abstract
An infinite number of linear differential equations whose solutions satisfy multi-dimensional Toda lattice (MDTL) equation are found. The coefficients of any of these linear equations are given by a solution of MDTL equation, thus the equation provides a kind of linear Bäcklund transformation of the NDTL equation.
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