Bihamiltonian cohomologies and integrable hierarchies. I: A special case
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Publication:387638
DOI10.1007/s00220-013-1822-yzbMath1318.37019arXiv1208.5847OpenAlexW1989110582MaRDI QIDQ387638
Publication date: 23 December 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5847
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symplectic aspects of Floer homology and cohomology (53D40)
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Bi-Hamiltonian recursion, Liu-Pandharipande relations, and vanishing terms of the second Dubrovin-Zhang bracket ⋮ Towards a bihamiltonian structure for the double ramification hierarchy ⋮ The calculus of multivectors on noncommutative jet spaces ⋮ Bihamiltonian cohomology of KdV brackets ⋮ The bi-Hamiltonian cohomology of a scalar Poisson pencil ⋮ Central invariants revisited ⋮ Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures ⋮ Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries ⋮ Tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations ⋮ Maurer-Cartan characterizations and cohomologies of compatible Lie algebras ⋮ Compatible structures of nonsymmetric operads, Manin products and Koszul duality ⋮ Bi-Hamiltonian structures of KdV type ⋮ Central invariants of the constrained KP hierarchies ⋮ Super tau-covers of bihamiltonian integrable hierarchies ⋮ Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets ⋮ Normal forms of dispersive scalar Poisson brackets with two independent variables
Cites Work
- The variational Poisson cohomology
- Essential variational Poisson cohomology
- Jacobi structures of evolutionary partial differential equations
- Deformations of semisimple bihamiltonian structures of hydrodynamic type
- On deformation of Poisson manifolds of hydrodynamic type
- On quasi-triviality and integrability of a class of scalar evolutionary PDEs
- On properties of Hamiltonian structures for a class of evolutionary PDEs
- On the moduli space of deformations of bi-Hamiltonian hierarchies of hydrodynamic type
- On a class of physically important integrable equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Intersection theory on the moduli space of curves and the matrix Airy function
- Les variétés de Poisson et leurs algèbres de Lie associees
- Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
- Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures
- Hamiltonian operators and \(\ell^*\)-coverings
- A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
- Deformations of bi-Hamiltonian structures of hydrodynamic type
- Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
- Bihamiltonian systems of hydrodynamic type and reciprocal transformations
- On bi-Hamiltonian deformations of exact pencils of hydrodynamic type
- Hamiltonian Structures for General PDEs
- A simple model of the integrable Hamiltonian equation
- An integrable shallow water equation with peaked solitons
- ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY
- On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations
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