The KP hierarchy with self_consistent sources: construction, Wronskian solutions and bilinear identities

16th Symmetries in Science

Lin, Runliang^1 ; Liu, Xiaojun^2 ; Zeng, Yunbo^1

Department of Mathematical Sciences, Tsinghua University, Beijing

100084, China^1

Department of Applied Mathematics, China Agricultural University, Beijing

100083, China^2

关键词: Self-consistent sources;    Soliton hierarchy;    Soliton solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/538/1/012014/pdf
DOI  :  10.1088/1742-6596/538/1/012014

来源: IOP

【 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.