2D Toda lattice equation with self-consistent sources

2D Toda lattice equation with self-consistent sources
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DOI:
10.1016/j.cam.2005.08.052
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发表时间:
2007-05
影响因子:
2.4
通讯作者:
Hong-Yan Wang;Xing-Biao Hu;Gegenhasi
Hong-Yan Wang;Xing-Biao Hu;Gegenhasi
中科院分区:
数学2区
文献类型:
--
作者:
Hong-Yan Wang;Xing-Biao Hu;Gegenhasi

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在双线性形式的基础上,提出了具有自洽源的二维Toda格点方程。给出了双线性形式的Casoratian型解和Bäck lund变换(BT)。从BT出发,导出了具有自洽源的二维Toda晶格的Lax对。
The two-dimensional Toda lattice equation with self-consistent sources is proposed based on its bilinear forms. Casoratian-type solutions and Bäcklund transformation (BT) for the bilinear forms are presented. Starting from the BT, a Lax pair is derived for the 2D Toda lattice with self-consistent sources.