Yamilov's theorem for differential and difference equations

DOI10.13108/2021-13-2-152zbMath1488.39050OpenAlexW3188028953WikidataQ115238919 ScholiaQ115238919MaRDI QIDQ5155563

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Publication date: 7 October 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa563

zbMATH Keywords

differential-difference equationscontinuous and discrete integrable systemsYamilov's theorem

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (1)

Non-existence of S-integrable three-point partial difference equations in the lattice plane

Cites Work

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• Discrete nonlinear hyperbolic equations. Classification of integrable cases
• Symmetries of the continuous and discrete Krichever-Novikov equation
• Classification of integrable equations on quad-graphs. The consistency approach
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• Discrete Systems and Integrability
• Classification of 3D Consistent Quad-Equations
• Symmetries as integrability criteria for differential difference equations
• Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
• Nonlinear differential−difference equations
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Searching for integrable lattice maps using factorization

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