Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy

Hongxia Wu; Jingxin Liu; Chunxia Li

doi:10.1134/S0040577917070042

Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy

作者: Wu H.¹^,2, Liu J.¹, Li C.³
隶属关系:
1. Department of Mathematics
2. School of Mathematical and Statistical Sciences
3. School of Mathematical Sciences
期: 卷 192, 编号 1 (2017)
页面: 982-999
栏目: Article
URL: https://journals.rcsi.science/0040-5779/article/view/171305
DOI: https://doi.org/10.1134/S0040577917070042
ID: 171305

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详细

We construct a nonauto Darboux transformation for the extended noncommutative Kadomtsev–Petviashvili (ncKP) hierarchy and consequently derive its quasi-Wronskian solution. We also obtain the quasi-Wronskian solution of the ncKP equation with self-consistent sources (ncKPESCS) as a by-product. Finally, we use the direct verification method to prove the quasi-Wronskian solution of the ncKPESCS.