Affine linear and D4symmetric lattice equations: symmetry analysis and reductions

DOI10.1088/1751-8113/40/44/015zbMath1131.39018arXiv0707.3730OpenAlexW3104844990WikidataQ61835387 ScholiaQ61835387MaRDI QIDQ5427711

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Publication date: 26 November 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3730

zbMATH Keywords

Painlevé equationsymmetry transformationssymmetry reductionlattice equationautonomous partial difference equations

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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On the Lagrangian formulation of multidimensionally consistent systems ⋮ Recursion operators, conservation laws, and integrability conditions for difference equations ⋮ A new recursion operator for Adler's equation in the Viallet form ⋮ Darboux transformations and recursion operators for differential-difference equations ⋮ Second order integrability conditions for difference equations: an integrable equation ⋮ Symmetries and conservation laws for a two-component discrete potentiated Korteweg - de Vries equation ⋮ Determining the symmetries of difference equations

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