From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations
DOI10.1007/s11040-021-09406-1zbMath1497.39012arXiv2102.11668OpenAlexW3204888328MaRDI QIDQ2239815
Peter H. van der Kamp, Da-jun Zhang, Dan-Da Zhang
Publication date: 5 November 2021
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.11668
superposition principleplanarauto-Bäcklund transformationquad equation3D consistencytetrahedron propertytorqued equation
Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
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Cites Work
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- Discrete nonlinear hyperbolic equations. Classification of integrable cases
- Soliton taxonomy for a modification of the lattice Boussinesq equation
- Multi-component extension of CAC systems
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions
- Classification of integrable equations on quad-graphs. The consistency approach
- Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Weak Lax pairs for lattice equations
- Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis
- Classification of 3D Consistent Quad-Equations
- Searching for CAC-maps
- Bäcklund transformations for integrable lattice equations
- Symmetries and integrability of discrete equations defined on a black–white lattice
- Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
- Bäcklund transformations and nonlinear differential difference equations
- Nonlinear differential difference equations as Backlund transformations
- Corrigendum: “Classification of 3D Consistent Quad-Equations”
- On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations
- Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
- Multisoliton solutions to the lattice Boussinesq equation
- Darboux integrability of trapezoidalH4andH4families of lattice equations I: first integrals
- Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax
- Discrete analogues of the Liouville equation
- Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation
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