Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
A New Bäcklund Transformation of the Two-Dimensional Toda Lattice
Noriko Saitoh, Éi Iti Takizawa
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1986 Volume 55 Issue 6 Pages 1827-1835

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Abstract
A new kind of Bäcklund transformation of the two-(space)-dimensional Toda lattice (2DTL) is given in the axially symmetric case. The compatibility conditions for the 2DTL equation lead to the new Bäcklund transformation (BT) of the 2DTL equation. By means of the BT, several solutions of the 2DTL equation are systematically obtained, starting from the solutions of the 2DTL equation itself.
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