A discrete Darboux-Lax scheme for integrable difference equations
DOI10.1016/j.chaos.2022.112059zbMath1505.39015arXiv2109.10372OpenAlexW3199784451MaRDI QIDQ2113219
Pavlos Xenitidis, X. Fisenko, S. Konstantinou-Rizos
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.10372
Bäcklund transformationssoliton solutionsintegrable lattice equationsDarboux transformationspartial difference equationsquad-graph equations3D-consistency
Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)
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Cites Work
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- Symbolic computation of Lax pairs of partial difference equations using consistency around the cube
- Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras
- Second order integrability conditions for difference equations: an integrable equation
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Geometry of Yang-Baxter maps: pencils of conics and quadrirational mappings
- On the \(3D\) consistency of a Grassmann extended lattice Boussinesq system
- Integrable boundary for quad-graph systems: three-dimensional boundary consistency
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Discrete Systems and Integrability
- Darboux transformations with tetrahedral reduction group and related integrable systems
- Darboux transformations, finite reduction groups and related Yang–Baxter maps
- Supersymmetric KdV equation: Darboux transformation and discrete systems
- On the Lagrangian formulation of multidimensionally consistent systems
- Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis
- Reduction groups and related integrable difference systems of nonlinear Schrödinger type
- Classification of 3D Consistent Quad-Equations
- Seed and soliton solutions for Adler's lattice equation
- Lagrangian multiforms and multidimensional consistency
- ZN graded discrete Lax pairs and Yang–Baxter maps
- Explicit auto-transformations of integrable chains
- Symmetries of ${\mathbb{Z}}_{N}$ graded discrete integrable systems
- Direct linearization approach to discrete integrable systems associated with ℤ 𝒩 graded Lax pairs
- Tetrahedron maps and symmetries of three dimensional integrable discrete equations
- Determining the symmetries of difference equations
- ${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations
- Yang–Baxter maps and multi-field integrable lattice equations
- $\mathbb{Z}_\mathcal{N}$ graded discrete integrable systems and Darboux transformations
- On consistent systems of difference equations
- Entwining Yang–Baxter maps related to NLS type equations
- A constructive approach to the soliton solutions of integrable quadrilateral lattice equations
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