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- Title
Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy.
- Authors
Wu, Hongxia; Liu, Jingxin; Li, Chunxia
- 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.
- Subjects
NONCOMMUTATIVE algebras; KADOMTSEV-Petviashvili equation; WRONSKIAN determinant; DARBOUX transformations; SELF-consistent field theory
- Publication
Theoretical & Mathematical Physics, 2017, Vol 192, Issue 1, p982
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577917070042