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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 092, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.092 (Mi sigma550) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Sergey Ya. Startsev

Ufa Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky Str., Ufa, 450077, Russia
Full-text PDF (262 kB) Citations (15)
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DOI: https://doi.org/10.3842/SIGMA.2010.092
Abstract: Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.
Keywords: non-point transformation; Darboux integrability; discrete Liouville equation; higher symmetry.
Received: October 4, 2010; in final form December 3, 2010; Published online December 11, 2010
Bibliographic databases:
Document Type: Article
MSC: 39A14; 34K99; 37K35
Language: English
Citation: Sergey Ya. Startsev, “On Non-Point Invertible Transformations of Difference and Differential-Difference Equations”, SIGMA, 6 (2010), 092, 14 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 15 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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