Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation

Gegenhasi Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, P.O. Box 2719, 100080, Beijing, P.R. China; Graduate School of the Chinese Academy of Sciences, Beijing, P.R. China E-mail: [email protected]@lsec.cc.ac.cn

Xing-Biao Hu Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, P.O. Box 2719, 100080, Beijing, P.R. China

Hon-Wah Tam Department of Computer Science, Hong Kong Baptist University Kowloon Tong, Hong Kong, P.R. China E-mail: [email protected]

Abstract

We apply the pfaffianization procedure to the q-difference version of the two-dimensional Toda lattice equation to produce the pfaffian analogue of the q-difference two-dimensional Toda lattice equation. A solution to the pfaffianized system is expressed in terms of the q-exponential functions.

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Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation

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