Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation
DOI10.1088/1572-9494/ABFCBAzbMath1521.37089arXiv2102.12062OpenAlexW3130670870MaRDI QIDQ6055416
Unnamed Author, Da-jun Zhang, Peter H. van der Kamp
Publication date: 29 September 2023
Published in: Communications in Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12062
consistencyLax pairsoliton solutionauto-Bäcklund transformationsemi-autonomous equationtorqued ABS 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)
Related Items (3)
Cites Work
- Unnamed Item
- Symbolic computation of Lax pairs of partial difference equations using consistency around the cube
- 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
- Classification of integrable equations on quad-graphs. The consistency approach
- The discrete and continuous Painlevé VI hierarchy and the Garnier systems
- Discrete Systems and Integrability
- Seed and soliton solutions for Adler's lattice equation
- Bäcklund transformations for integrable lattice equations
- Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
- Corrigendum: “Classification of 3D Consistent Quad-Equations”
- On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations
- Multisoliton solutions to the lattice Boussinesq equation
- Soliton solutions for Q3
- Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax
This page was built for publication: Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation
