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ULTRADISCRETIZATION OF THE TZITZEICA EQUATION

Published online by Cambridge University Press:  14 July 2005

RYOGO HIROTA  and
DAISUKE TAKAHASHI
RYOGO HIROTA
Affiliation:
Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan e-mail: [email protected]
DAISUKE TAKAHASHI
Affiliation:
Department of Mathematical Sciences, Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan e-mail: [email protected]
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Abstract

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The trilinear form of the discrete Tzitzeica equation by Schief is found to be a discrete Toda molecule equation with a special boundary condition. Based on this fact, a higher order discrete Tzitzeica equation and an ultradiscrete Tzitzeica equation are obtained.

Keywords

35Q51
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 77 - 85
Copyright
2005 Glasgow Mathematical Journal Trust