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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This article is a part of the special issue titled “Symmetries and Integrability of Difference Equations (SIDE VI)”
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Gegenhasi, Hu, XB. & Tam, HW. Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation. J Nonlinear Math Phys 12 (Suppl 2), 147–152 (2005). https://doi.org/10.2991/jnmp.2005.12.s2.10
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DOI: https://doi.org/10.2991/jnmp.2005.12.s2.10