Exact solutions for a class of integrable Hénon–Heiles-type systems
From MaRDI portal
Publication:5246542
DOI10.1063/1.3300310zbMath1309.70014arXiv0911.4260OpenAlexW2018673949MaRDI QIDQ5246542
Vasile Mioc, Vladimir S. Gerdjikov, Nikolay A. Kostov
Publication date: 21 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.4260
Klein surfaces (30F50) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Celestial mechanics (70F15)
Related Items
Integrable Hénon-Heiles hamiltonians: a Poisson algebra approach, Exact Solutions in the Invariant Manifolds of the Generalized Integrable Hénon–Heiles System and Exact Traveling Wave Solutions of Klein–Gordon–Schrödinger Equations, Some qualitative properties of Lyapunov exponents for almost periodic Hamiltonian systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
- Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
- The Hénon-Heiles system revisited
- Tata lectures on theta. III
- E-compact extensions of topological spaces
- Hill's operator with finitely many gaps
- The spectrum of Hill's equation
- A recursive family of differential polynomials generated by the Sylvester identity, and addition theorems for hyperelliptic Kleinian functions
- On the geometry of elliptic solitons
- Finite-gap elliptic solutions of the KdV equation
- Picard potential and Hill's equation on a torus
- Treibich-Verdier potentials and the stationary (m)KdV hierarchy
- Collision and escape orbits in a generalized Hénon-Heiles model
- Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type
- Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations
- On the integrability of stationary and restricted flows of the KdV hierarchy
- Bilinear recurrences and addition formulae for hyperelliptic sigma functions
- Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Separability and Lax pairs for Hénon–Heiles system
- Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
- Quasi-bi-Hamiltonian systems and separability
- Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system
- Integration of a generalized Hénon–Heiles Hamiltonian
- Linear r-matrix algebra for classical separable systems
- Lamé Potentials and the Stationary (m)KdV Hierarchy
- Bäcklund transformations for many-body systems related to KdV
- Theory of Orbits
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
