Email this article Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy
- Authors: Wu H.1,2, Liu J.1, Li C.3
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Affiliations:
- Department of Mathematics
- School of Mathematical and Statistical Sciences
- School of Mathematical Sciences
- Issue: Vol 192, No 1 (2017)
- Pages: 982-999
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171305
- DOI: https://doi.org/10.1134/S0040577917070042
- ID: 171305
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Abstract
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.
About the authors
Hongxia Wu
Department of Mathematics; School of Mathematical and Statistical Sciences
Author for correspondence.
Email: wuhongxia796@163.com
China, Xiamen; Edinburg, Texas
Jingxin Liu
Department of Mathematics
Email: wuhongxia796@163.com
China, Xiamen
Chunxia Li
School of Mathematical Sciences
Email: wuhongxia796@163.com
China, Beijing
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