This article is cited in 5 papers

Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy

Hongxia Wu^ab, Jingxin Liu^a, Chunxia Li<sup>c

a</sup> Department of Mathematics, Jimei University, Xiamen, China
^b School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, Texas, USA
^c School of Mathematical Sciences, Capital Normal University, Beijing, China

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.

Keywords: extended noncommutative KP hierarchy, Darboux transformation, quasi-Wronskian solution, direct verification.

PACS: 02.30.Ik

Received: 24.05.2016
Revised: 30.07.2016

DOI: 10.4213/tmf9236

 English version: Theoretical and Mathematical Physics, 2017, 192:1, 982–999

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