Consecutive Rosochatius deformations of the Neumann system
From MaRDI portal
Publication:5410915
DOI10.1063/1.4826360zbMath1294.37026OpenAlexW2022687512MaRDI QIDQ5410915
Publication date: 17 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4826360
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Holonomic systems related to the dynamics of a system of particles (70F20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrable deformations of integrable symplectic maps
- Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation
- Neumann and Neumann-Rosochatius integrable systems from membranes on \(\mathrm{AdS}_4\times S^7\)
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
- Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows
- A geometric approach to the separability of the Neumann-Rosochatius system
- Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables
- The Gauss-Knörrer map for the Rosochatius dynamical system
- Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type
- From Rosochatius System to KdV Equation
- On the integrability of stationary and restricted flows of the KdV hierarchy
- Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with self-consistent sources
- Integrable Rosochatius deformations of the restricted soliton flows
- Quadrics on real Riemannian spaces of constant curvature: Separation of variables and connection with Gaudin magnet
- Lax representation, r-matrix method, and separation of variables for the Neumann-type restricted flow
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- The finite-band solution of the Jaulent–Miodek equation
- GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
- Integrability of One Particle in a Perturbed Central Quartic Potential
- Soliton hierarchies with sources and Lax representation for restricted flows
- Linear r-matrix algebra for classical separable systems
- A hierarchy of Garnier-Rosochatius systems
- A NOTE ON SPIN CHAIN/STRING DUALITY
This page was built for publication: Consecutive Rosochatius deformations of the Neumann system
