Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations
DOI10.1007/s00220-023-04817-3arXiv2305.10851MaRDI QIDQ6047001
You-Jin Zhang, Zhe Wang, Si-Qi Liu
Publication date: 6 October 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.10851
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
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Cites Work
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- Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
- Bihamiltonian cohomologies and integrable hierarchies. I: A special case
- The local Gromov-Witten theory of \({\mathbb{C}\mathbb{P}^1}\) and integrable hierarchies
- Jacobi structures of evolutionary partial differential equations
- On deformation of Poisson manifolds of hydrodynamic type
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Bäcklund transformations and their applications
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- The problem of integrable discretization: Hamiltonian approach
- Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures
- Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
- A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
- Conservation of the forms of Hamiltonian structures upon linear substitution for independent variables
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Integrable hierarchies and the mirror model of local \({\mathbb {CP}}^{1}\)
- Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries
- Super tau-covers of bihamiltonian integrable hierarchies
- Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds
- Lecture notes on Bihamiltonian structures and their central invariants
- Bihamiltonian systems of hydrodynamic type and reciprocal transformations
- A two-component generalization of the Camassa-Holm equation and its solutions
- Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy
- Compatible Poisson brackets of hydrodynamic type
- Generalized Legendre transformations and symmetries of the WDVV equations
- Negative powers of Olver recursion operators
- Mastersymmetries, angle variables, and recursion operator of the relativistic Toda lattice
- An integrable shallow water equation with peaked solitons
- Central invariants revisited
- THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
- Reciprocal transformations of Hamiltonian operators of hydrodynamic type: Nonlocal Hamiltonian formalism for linearly degenerate systems
- Conformally plane metrics, systems of hydrodynamic type, and non-local Hamiltonian operators
- On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations
- Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations
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