Families of quasi-bi-Hamiltonian systems and separability
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Publication:4270437
DOI10.1063/1.532979zbMath0953.37015arXivsolv-int/9906005OpenAlexW3104980347MaRDI QIDQ4270437
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9906005
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)
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Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems., Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay–Turbiner–Winternitz (TTW) and the Post–Winternitz (PW) systems, Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem, Quasi-bi-Hamiltonian structures and superintegrability: study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion
Cites Work
- Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
- Modifying Lax equations and the second Hamiltonian structure
- Nonlinear evolution equations associated with energy-dependent Schrödinger potentials
- New factorization of the Kaup-Newell hierarchy
- Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables
- Theta functions and non-linear equations
- Integrable Hamiltonian systems related to the polynomial eigenvalue problem
- Bi-Hamiltonian structure of an integrable Henon-Heiles system
- Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case
- Restricted flows of the AKNS hierarchy
- How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
- A simple model of the integrable Hamiltonian equation
- Quasi-bi-Hamiltonian systems and separability
- Using factorization to solve soliton equations
- Non-Pfaffian quasi-bi-Hamiltonian systems with two degrees of freedom
- On separability of bi-Hamiltonian chain with degenerated Poisson structures
- The bi-Hamiltonian structure for the restricted flows of the Boussinesq and the modified Boussinesq equation
- Miura map and Bi-Hamiltonian formulation for restricted flows of the KdV hierarchy
- Two degrees of freedom quasi-bi-Hamiltonian systems
- The Jacobi Inversion Problem for Soliton Equations
- New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
- The deduction of the Lax representation for constrained flows from the adjoint representation
- Families of dynamical r-matrices and Jacobi inversion problem for nonlinear evolution equations
- Linear r-matrix algebra for classical separable systems