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q-Discrete Toda Molecule Equation

Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma

solv-intarXiv:solv-int/9304001

Abstract

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

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