On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras
DOI10.1134/s0040577923100094zbMath1530.37098arXiv2306.14585MaRDI QIDQ6195164
Ismagil T. Habibullin, A. R. Khakimova
Publication date: 16 February 2024
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.14585
Darboux integrabilityintegrable reductionscharacteristic integralscharacteristic algebrasthree-dimensional chains
Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetry approach to the integrability problem
- The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems
- Integrable pseudopotentials related to generalized hypergeometric functions
- Evolution equations with nontrivial conservative laws
- Classification of integrable equations on quad-graphs. The consistency approach
- Reductions of the Benney equations.
- A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras
- Darboux integrability of discrete two-dimensional Toda lattices
- Classifying integrable Egoroff hydrodynamic chains
- Integrability via geometry: dispersionless differential equations in three and four dimensions
- Classification of Integrable Discrete Equations of Octahedron Type
- Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
- The tangential map and associated integrable equations
- Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits
- The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
- Algebraic Structures in Integrability
- Algebraic properties of quasilinear two-dimensional lattices connected with integrability
- On a class of 2D integrable lattice equations
- Integrals and characteristic Lie rings of semi-discrete systems of equations
- On the Classification of Discrete Hirota-Type Equations in 3D
- On classification of integrable Davey–Stewartson type equations
- On Dispersionless BKP Hierarchy and its Reductions
- Differential Forms on General Commutative Algebras
- Characteristic Lie algebras of integrable differential-difference equations in 3D
- Discrete analogues of the Liouville equation
- On the problem of classifying integrable chains with three independent variables
This page was built for publication: On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras
