Combinatorics of Matrix Factorizations and Integrable Systems
DOI10.1080/14029251.2013.862433zbMath1420.37104arXiv1302.2973OpenAlexW2006252037WikidataQ114098826 ScholiaQ114098826MaRDI QIDQ5230921
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.2973
Additive difference equations (39A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Cites Work
- Integrable Lagrangian correspondences and the factorization of matrix polynomials
- Variational principle for equations integrable by the inverse problem method
- Discrete versions of some classical integrable systems and factorization of matrix polynomials
- Lax pair for the Adler (lattice Krichever-Novikov) system
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- Isomonodromy transformations of linear systems of difference equations
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- On the Lagrangian Structure of the Discrete Isospectral and Isomonodromic Transformations
- Factorizations of rational matrix functions with application to discrete isomonodromic transformations and difference Painlevé equations
- Lagrangian multiforms and multidimensional consistency
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