Darboux and binary Darboux transformations for the nonautonomous discrete KP equation
Darboux and binary Darboux transformations for the nonautonomous discrete KP equation
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DOI：
10.1063/1.532222
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发表时间：
1997-12
影响因子：
1.3
通讯作者：
R. Willox;T. Tokihiro;J. Satsuma
中科院分区：
文献类型：
--
作者：
R. Willox;T. Tokihiro;J. Satsuma
展示了如何从费米子分析中获得非自治离散 KP 方程的达布变换和二元达布变换。该方程是通过考虑广义 Miwa 变换而获得的；它还通过特殊的规范变换将其与离散 KP 方程联系起来。达布和二元达布变换用于讨论卡索拉蒂型和格拉姆型行列式形式的一般解类别。还讨论了 N-孤子解决方案。
It is shown how Darboux and binary Darboux transformations for a nonautonomous discrete KP equation can be obtained from fermion analysis. This equation is obtained by considering a generalized Miwa transformation; it is also shown to be linked to the discrete KP equation by a special gauge transformation. The Darboux and binary Darboux transformations are used to discuss general classes of solutions in the form of Casorati- and Gramm-type determinants. N-soliton solutions are discussed as well.