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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 1, Pages 51–69
DOI: https://doi.org/10.4213/tmf9236 (Mi tmf9236) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy

Hongxia Wuab, Jingxin Liua, Chunxia Lic

a 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
Full-text PDF (464 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9236
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.
Funding agency Grant number
National Natural Science Foundation of China 11201178
11271266
Natural Science Foundation of Fujian Province 2012J01013
National Science Foundation Beijing Office 1162003
Department of Education of Fujian Province JK2012025
Fujian Provincial Visiting Scholar Program
This research is supported by the National Natural Science Foundation of China (Grant Nos. 11201178 and 11271266), the Fujian National Science Foundation (Grant No. 2012J01013), the Beijing National Science Foundation (Grant No. 1162003), the Fujian Higher College Special Project of Scientific Research (Grant No. JK2012025), and the Fujian Provincial Visiting Scholar Program.
Received: 24.05.2016
Revised: 30.07.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 1, Pages 982–999
DOI: https://doi.org/10.1134/S0040577917070042
Bibliographic databases:
PACS: 02.30.Ik
Language: Russian
Citation: Hongxia Wu, Jingxin Liu, Chunxia Li, “Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy”, TMF, 192:1 (2017), 51–69; Theoret. and Math. Phys., 192:1 (2017), 982–999
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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