A completeness study on discrete, 2×2 Lax pairs
From MaRDI portal
Publication:3583655
DOI10.1063/1.3177197zbMath1283.37068OpenAlexW2041350434MaRDI QIDQ3583655
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3177197
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Partial difference equations (39A14)
Related Items
Darboux integrability of trapezoidalH4andH4families of lattice equations I: first integrals ⋮ 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 ⋮ Lax integrable nonlinear partial difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Integrability conditions for nonautonomous quad-graph equations
- Nonlinear nonautonomous discrete dynamical systems from a general discrete isomonodromy problem
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Complete integrability and singularity confinement of nonautonomous modified Korteweg-de Vries and sine Gordon mappings
- Classification of integrable equations on quad-graphs. The consistency approach
- The discrete Korteweg-de Vries equation
- Integrable lattices and convergence acceleration algorithms
- A Lax pair for a lattice modified KdV equation, reductions toq-Painlevé equations and associated Lax pairs
- Hierarchies of nonlinear integrableq-difference equations from series of Lax pairs
- Nonlinear differential–difference equations and Fourier analysis
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Introduction to Classical Integrable Systems
- A new two-dimensional lattice model that is consistent around a cube
- Lax pairs for integrable lattice systems
