Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation
DOI10.1111/sapm.12495arXiv2201.04842WikidataQ114078118 ScholiaQ114078118MaRDI QIDQ6089939
Krzysztof Marciniak, Ziemowit Domański, Maciej Błaszak
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.04842
Lax representationPainlevé equationsStäckel systemsFrobenius integrabilitynonautonomous Hamiltonian equations
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
Cites Work
- Unnamed Item
- Natural coordinates for a class of Benenti systems
- Generalized Stäckel systems
- Painlevé equations in the differential geometry of surfaces
- On a generalized \(2+1\) dispersive water wave hierarchy
- Non-homogeneous hydrodynamic systems and quasi-Stäckel Hamiltonians
- The second Painlevé hierarchy and the stationary KdV hierarchy
- The first and second Painlevé equations of higher order and some relations between them
- Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems
- Lax representations for separable systems from Benenti class
- Separable systems with quadratic in momenta first integrals
- Linear r-matrix algebra for classical separable systems
- R-matrix construction of electromagnetic models for the Painlevé transcendents
- Duality between integrable Stäckel systems
- Quantum versus Classical Mechanics and Integrability Problems
- Linear problems and hierarchies of Painlevé equations
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
- Integrable systems in the realm of algebraic geometry.
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