q-Discrete Toda Molecule Equation

3-8-1 Komaba; 7-3-1 Hongo; Bunkyo-ku; Faculty of Engineering; Japan); Japan) Junkichi Satsuma (Department of Mathematical Sciences; Japan) Yasuhiro Ohta (Research Institute for Mathematical Sciences; Kenji Kajiwara (Department of Applied Physics; Kyoto 606; Kyoto University

arxiv: solv-int/9304001 · v1 · submitted 1993-04-16 · solv-int · hep-th· nlin.SI

q-Discrete Toda Molecule Equation

Kenji Kajiwara (Department of Applied Physics , Faculty of Engineering , University of Tokyo , 7-3-1 Hongo , Bunkyo-ku , Tokyo 113 , Japan) Yasuhiro Ohta (Research Institute for Mathematical Sciences , Kyoto University

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Kyoto 606 Japan) Junkichi Satsuma (Department of Mathematical Sciences 3-8-1 Komaba Meguro-ku Tokyo 153 Japan)

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classification solv-int hep-thnlin.SI

keywords equationmoleculeq-discretetodadiscussedacklundcylindricaldirect

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A q-discrete version of the two-dimensional Toda molecule equation is proposed through the direct method. Its solution, B\"acklund transformation and Lax pair are discussed. The reduction to the q-discrete cylindrical Toda molecule equation is also discussed.

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q-Discrete Toda Molecule Equation

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