On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions

DOI

10.2991/jnmp.2005.12.s2.22How to use a DOI?

Abstract

In this paper, we first present the Casorati and grammian determinant solutions to a special two-dimensional lattice by Blaszak and Szum. Then, by using the pfaffianiztion procedure of Hirota and Ohta, a new integrable coupled system is generated from the special lattice. Moreover, gram-type pfaffian solutions to the pfaffianized system are proposed. Finally, the bi-directional wronskian solutions to the corresponding molecule equation are given.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Guo-Fu Yu
AU  - Chun-Xia Li
AU  - Jun-Xiao Zhao
PY  - 2005
DA  - 2005/12/01
TI  - On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 316
EP  - 332
VL  - 12
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s2.22
DO  - 10.2991/jnmp.2005.12.s2.22
ID  - Yu2005
ER  -