Commutativity of Pfaffianization and Bäcklund Transformations: Two Differential-Difference Systems
Commutativity of Pfaffianization and Bäcklund Transformations: Two Differential-Difference Systems
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DOI：
10.1143/jpsj.78.064005
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发表时间：
2009-06
影响因子：
1.7
通讯作者：
Junxiao Zhao;Gegenhasi;Xing-Biao Hu
中科院分区：
文献类型：
--
作者：
Junxiao Zhao;Gegenhasi;Xing-Biao Hu
本文将pf化和Backlund变换的交换性推广到两个微分-差分系统：二维户田格点方程和微分-差分KP方程.利用这一方法，分别给出了它们耦合系统的Backlund变换公式。
We generalize the idea of the Commutativity of pfaffianization and Backlund transformations to two differential-difference systems: the two-dimensional Toda lattice equation and the differential-difference KP equations. By means of which, Backlund transformation formulae for their coupled systems are presented respectively.