The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation

被引：4
作者：
Li, Qi [1 ]
Su, Shu-hua [1 ]
Li, Ming-hui [1 ]
Zhang, Jian-bing [2 ]
机构：
[1] E China Inst Technol, Dept Math, Fuzhou 330013, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 10期
基金：
中国国家自然科学基金;
关键词：
SYMMETRIES; HIERARCHY;
D O I：
10.1063/1.4933221
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The inverse scattering transform for the differential-difference Kadomtsev-Petviashvili equation is presented. The properties of Jost function and scattering data are investigated for the direct problem, which is related to a "DBAR" problem and Fourier transform involving both the discrete variable and the continuous one. The inverse problem is formulated and the time evolution of scattering data is given by using the generalized Cauchy integral formula and the time dependent part of the corresponding Lax pair. (C) 2015 AIP Publishing LLC.
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页数：6
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