Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
A Transformation Connecting the Two-Dimensional Toda Lattice and K-dV Equation
Michiaki MatsukawaShinsuke Watanabe
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1988 年 57 巻 8 号 p. 2685-2688

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The two-dimensional Toda lattice equation is reduced to the K-dV equation by a transformation including arbitrary parameters. This transformation naturally contains Saitoh’s transformation connecting the Toda lattice and the K-dV equation. It is also studied how the discrete Zakharov-Shabat inverse scattering transformation formalism for 2D Toda lattice equation is represented by this transformation.
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