The KP hierarchy with self-consistent sources: construction, Wronskian solutions and bilinear identities

被引：3
|
作者：
Lin, Runliang [1 ]
Liu, Xiaojun [2 ]
Zeng, Yunbo [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] China Agr Univ, Dept Appl Math, Beijing 100083, Peoples R China
来源：
SYMMETRIES IN SCIENCE XVI | 2014年 / 538卷
基金：
中国国家自然科学基金;
关键词：
EQUATIONS; FLOWS;
D O I：
10.1088/1742-6596/538/1/012014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we will present some of our results on the soliton hierarchy with self-consistent sources (SHSCSs). The Kadomtsev-Petviashvili (KP) hierarchy will be used as an illustrative example to show the method to construct the SHSCSs. Some properties of the KP hierarchy with self-consistent sources will also be given, such as the dressing approach, the Wronskian solutions (including soliton solutions), its bilinear identities and the tau function.
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页数：8
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