On one integrable system with a cubic first integral
DOI10.1007/s11005-012-0562-9zbMath1253.70022arXiv1103.1444OpenAlexW3100380363MaRDI QIDQ692876
Alexander Vladimirovich Vershilov, Andreĭ Vladimirovich Tsyganov
Publication date: 6 December 2012
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.1444
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)
Related Items (4)
Cites Work
- On a class of integrable systems with a cubic first integral
- Separation of variables for bi-Hamiltonian systems
- New examples of integrable conservative systems on \(S^2\) and the case of Goryachev-Chaplygin
- Bihamiltonian structures and Stäckel separability
- Integrable systems and moduli spaces of rank two vector bundles on a non-hyperelliptic genus 3 curve.
- The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
- Separation of variables for the generalized Henon–Heiles system and system with quartic potential
- On bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds
- On natural Poisson bivectors on the sphere
- On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion
- Duality between integrable Stäckel systems
- Abelian Functions for Trigonal Curves of Genus Three
- Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations
- Two-dimensional geodesic flows having first integrals of higher degree
- On the tetrahedrally symmetric monopole
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