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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 036, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.036 (Mi sigma1236) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation

Ying Shia, Jonathan Nimmob, Junxiao Zhaoc

a School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, P.R. China
b Department of Mathematics, University of Glasgow, Glasgow G12 8QQ, UK
c School of Mathematics, University of Chinese Academy of Sciences, Beijing 100190, P.R. China
Full-text PDF (395 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2017.036
Abstract: The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota–Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be used to construct exact solutions.
Keywords: partial difference equations; integrability; reduction; Darboux transformation.
Funding agency Grant number
National Natural Science Foundation of China 11501510
11271362
11271266
The authors (YS and JXZ) also thank for the financial support from NSFC (Grant Numbers 11501510, 11271362, 11271266).
Received: December 17, 2016; in final form May 16, 2017; Published online May 28, 2017
Bibliographic databases:
Document Type: Article
MSC: 39A14; 37K10; 35C08
Language: English
Citation: Ying Shi, Jonathan Nimmo, Junxiao Zhao, “Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation”, SIGMA, 13 (2017), 036, 18 pp.
Citation in format AMSBIB
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\paper Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II.~Discrete Potential mKdV Equation
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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