Darboux integrability of trapezoidalH4andH4families of lattice equations I: first integrals
From MaRDI portal
Publication:5365171
DOI10.1088/1751-8121/aa7fd9zbMath1378.37115arXiv1608.03506OpenAlexW2510769793MaRDI QIDQ5365171
Ravil I. Yamilov, Giorgio Gubbiotti
Publication date: 6 October 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.03506
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14)
Related Items
On the inverse problem of the discrete calculus of variations, Classification of variational multiplicative fourth-order difference equations, Algebraic reductions of discrete equations of Hirota-Miwa type, Reconstructing a lattice equation: a non-autonomous approach to the Hietarinta equation, Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions, On series of Darboux integrable discrete equations on square lattice, From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations, Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube, Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations, Algebraic entropy, symmetries and linearization of quad equations consistent on the cube, Algebraic entropy for face-centered quad equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Symbolic computation of Lax pairs of partial difference equations using consistency around the cube
- A completeness study on certain \(2\times 2\) Lax pairs including zero terms
- Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube
- Lax pair for the Adler (lattice Krichever-Novikov) system
- The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
- Darboux integrable nonlinear hyperbolic equations
- Generalized Laplace invariants and the method of Darboux
- New example of a nonlinear hyperbolic equation possessing integrals
- Singularity, complexity, and quasi-integrability of rational mappings
- Algebraic entropy
- Classification of integrable equations on quad-graphs. The consistency approach
- On the Darboux integrable hyperbolic equations
- Multidimensional quadrilateral lattices are integrable.
- Characteristic algebras of fully discrete hyperbolic type equations
- Sur les équations aux dérivées partielles du second ordre, \(F(x,y,z,p,q,r,s,t)=0\), intégrables par la méthode de Darboux
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Exactly integrable hyperbolic equations of Liouville type
- Discretization of hyperbolic type Darboux integrable equations preserving integrability
- Weak Lax pairs for lattice equations
- Classification of 3D Consistent Quad-Equations
- Generalized symmetry classification of discrete equations of a class depending on twelve parameters
- Searching for CAC-maps
- Symmetries as integrability criteria for differential difference equations
- A completeness study on discrete, 2×2 Lax pairs
- INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4
- Symmetries and integrability of discrete equations defined on a black–white lattice
- Lax pairs galore
- A new two-dimensional lattice model that is consistent around a cube
- Corrigendum: “Classification of 3D Consistent Quad-Equations”
- Lie-point symmetries of the discrete Liouville equation
- Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
- Darboux integrable discrete equations possessing an autonomous first-order integral
- Searching for integrable lattice maps using factorization
- The non-autonomous YdKN equation and generalized symmetries of Boll equations
- Discrete analogues of the Liouville equation
