Pfaffianization of the two-dimensional Toda lattice
Pfaffianization of the two-dimensional Toda lattice
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DOI：
10.1016/j.jmaa.2004.03.065
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发表时间：
2004-08
影响因子：
1.3
通讯作者：
Xing-Biao Hu;Junxiao Zhao;H. Tam
中科院分区：
文献类型：
--
作者：
Xing-Biao Hu;Junxiao Zhao;H. Tam
由于Hirota和Ohta的faffization程序应用于二维Toda晶格。结果，发现了二维Toda晶格的一个化版本。2004 Elsevier Inc.版权所有。1991年，Hirota和Ohta[1,2]开发了一种有效的程序，我们现在称之为pfaffanization，它允许人们产生新的方程耦合系统，其解为pfaffian形式。最近，人们对这个方向的兴趣越来越大。例如，这种方法已成功地应用于Davey-Stewartson方程[3]、离散KP方程[4]和自对偶Yang-Mills方程[5]。此外，我们还研究了[6]中磺化KP的层次结构。本文的目的是将Hirota和Ohta的方法应用于以下双线性二维Toda格：
Pfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda lattice. As a result, a Pfaffianized version of the two-dimensional Toda lattice is found. 2004 Elsevier Inc. All rights reserved.In 1991, Hirota and Ohta [1, 2] developed an effective procedure of what we now call Pfaffianization, which allows one to produce new coupled systems of equations with solutions in the form of Pfaffians. Recently, there has been growing interest in this direction. For example, such a procedure has been successfully applied to the Davey–Stewartson equations [3], the discrete KP equation [4] and the self-dual Yang–Mills equation [5]. Besides, the Pfaffianized KP hierarchies have been investigated in [6]. The purpose of this paper is to apply the procedure of Hirota and Ohta to the following bilinear two-dimensional Toda lattice: