Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability
From MaRDI portal
Publication:6085788
DOI10.1111/sapm.12473arXiv2001.02881OpenAlexW2999632591WikidataQ114078122 ScholiaQ114078122MaRDI QIDQ6085788
Ziemowit Domański, Maciej Błaszak, Krzysztof Marciniak
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.02881
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Natural coordinates for a class of Benenti systems
- Generalized Stäckel systems
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
- Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
- The Hénon-Heiles system revisited
- Darboux coordinates and Liouville-Arnold integration in loop algebras
- On a generalized \(2+1\) dispersive water wave hierarchy
- Non-homogeneous hydrodynamic systems and quasi-Stäckel Hamiltonians
- The first and second Painlevé equations of higher order and some relations between them
- Noncommutative Painlevé equations and systems of Calogero type
- Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems
- Non-autonomous Hénon-Heiles system from Painlevé class
- Lax representations for separable systems from Benenti class
- On an isomonodromy deformation equation without the Painlevé property
- Hamiltonian structure of pi hierarchy
- A Short Proof of the Frobenius Theorem
- Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
- Separable systems with quadratic in momenta first integrals
- Linear r-matrix algebra for classical separable systems
- Stäckel transform of Lax equations
- Quantum versus Classical Mechanics and Integrability Problems
- On three-dimensional quasi-Stäckel Hamiltonians
- The Hamiltonian structure of the second Painlevé hierarchy
- On quasi-Stäckel Hamiltonians
This page was built for publication: Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability