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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
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
Citation:
Sergey Ya. Startsev, “On Non-Point Invertible Transformations of Difference and Differential-Difference Equations”, SIGMA, 6 (2010), 092, 14 pp.
Linking options:
https://www.mathnet.ru/eng/sigma550 https://www.mathnet.ru/eng/sigma/v6/p92
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Abstract page: | 251 | Full-text PDF : | 52 | References: | 47 |
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