Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure
DOI10.1134/S0040577920100025zbMath1454.39027arXiv2003.02025OpenAlexW3095305895MaRDI QIDQ2215165
Publication date: 11 December 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.02025
differential-difference equationhigher symmetrydiscrete equationmaster symmetrynoninvertible transformation
Lattice dynamics; integrable lattice equations (37K60) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Integrable difference and lattice equations; integrability tests (39A36)
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Cites Work
- Integrable Möbius-invariant evolutionary lattices of second order
- On non-point invertible transformations of difference and differential-difference equations
- Symmetry approach to the integrability problem
- Invertible changes of variables generated by Bäcklund transformations
- On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations
- Integrable seven-point discrete equations and second-order evolution chains
- An unusual series of autonomous discrete integrable equations on a square lattice
- Non-invertible transformations of differential–difference equations
- Classification of five-point differential-difference equations
- Generalized symmetry integrability test for discrete equations on the square lattice
- Symmetries as integrability criteria for differential difference equations
- Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
- Construction scheme for discrete Miura transformations
- Peculiar symmetry structure of some known discrete nonautonomous equations
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