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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 3, Pages 434–448
DOI: https://doi.org/10.4213/tmf9465 (Mi tmf9465) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Generalized Darboux transformation for the discrete Kadomtsev–Petviashvili equation with self-consistent sources

Runliang Lin, Yukun Du

Department of Mathematical Sciences, School of Sciences, Tsinghua University, Beijing, China
Full-text PDF (454 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9465
Abstract: We construct several types of Darboux transformations for the discrete Kadomtsev–Petviashvili equation with self-consistent sources (dKPwS) including the elementary Darboux transformation, the adjoint Darboux transformation, and the binary Darboux transformation. These Darboux transformations can be used to obtain some solutions of the dKPwS. We give some solutions explicitly.
Keywords: integrable system with self-consistent sources, discrete Kadomtsev–Petviashvili equation, Darboux transformation, Hirota equation, soliton solution.
Funding agency Grant number
National Natural Science Foundation of China 11471182
This research is supported by National Natural Science Foundation of China (Grant No. 11471182).
Received: 22.09.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 3, Pages 1320–1332
DOI: https://doi.org/10.1134/S0040577918090064
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
MSC: 35Q51, 37K10
Language: Russian
Citation: Runliang Lin, Yukun Du, “Generalized Darboux transformation for the discrete Kadomtsev–Petviashvili equation with self-consistent sources”, TMF, 196:3 (2018), 434–448; Theoret. and Math. Phys., 196:3 (2018), 1320–1332
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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