Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type
arXiv:math/0405146 · doi:10.1016/j.geomphys.2004.11.003
Abstract
We classify in this paper infinitesimal quasitrivial deformations of semisimple bihamiltonian structures of hydrodynamic type.
24 pages
References in corpus (1)
Cited by in corpus (52)
- A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
- On a Camassa-Holm type equation with two dependent variables
- On Hamiltonian perturbations of hyperbolic systems of conservation laws, II: universality of critical behaviour
- Two-component {CH} system: Inverse Scattering, Peakons and Geometry
- Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
- A new two-component integrable system with peakon solutions
- On negative flows of the AKNS hierarchy and a class of deformations of bihamiltonian structure of hydrodynamic type
- On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs
- On Hamiltonian perturbations of hyperbolic systems of conservation laws
- Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case
- Geodesic Flow and Two (Super) Component Analog of the Camassa-Holm Equation
- Novikov algebras and a classification of multicomponent Camassa-Holm equations
- On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
- Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
- On Properties of Hamiltonian Structures for a Class of Evolutionary PDEs
- Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
- Exact Poisson pencils, -structures and topological hierarchies
- Multisoliton solutions of the two-component Camassa-Holm system and their reductions
- Central Invariants of the Constrained KP Hierarchies
- Quasi-periodic solutions to the negative-order KdV hierarchy
- Bihamiltonian cohomology of KdV brackets
- Variational derivation of two-component Camassa-Holm shallow water system
- Whitham systems and deformations
- Deformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation
- Towards a bihamiltonian structure for the double ramification hierarchy
- A 3-component extension of the Camassa-Holm hierarchy
- On bi-Hamiltonian deformations of exact pencils of hydrodynamic type
- Deformations of non semisimple Poisson pencils of hydrodynamic type
- Higher genera Catalan numbers and Hirota equations for extended nonlinear Schroedinger hierarchy
- Central invariants revisited
- Super tau-covers of bihamiltonian integrable hierarchies
- The bi-Hamiltonian cohomology of a scalar Poisson pencil
- On integrable conservation laws
- On the Quasitriviality of Deformations of Bihamiltonian Structures of Hydrodynamic Type
- Variational Bihamiltonian Cohomologies and Integrable Hierarchies II: Virasoro symmetries
- Variational Bihamiltonian Cohomologies and Integrable Hierarchies I: Foundations
- Miura-reciprocal transformations and localizable Poisson pencils
- Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows
- Neumann Type Integrable Reduction to the Negative-Order Coupled Harry--Dym Hierarchy
- Poisson pencils: reduction, exactness, and invariants
- Jacobi Structures of Evolutionary Partial Differential Equations
- Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy
- Bi-Hamiltonian structures of KdV type, cyclic Frobenius algebrae and Monge metrics
- BCFG Drinfeld-Sokolov Hierarchies and FJRW-Theory
- Inherited structures in deformations of Poisson pencils
- Linearization of Virasoro symmetries associated with semisimple Frobenius manifolds
- On the moduli space of deformations of bihamiltonian hierarchies of hydrodynamic type
- The 2-component dispersionless Burgers equation arising in the modelling of blood flow
- Low dimensional bihamiltonian structures of topological type
- Hamiltonian Structures and Reciprocal Transformations for the -KdV-CH Hierarchy
- Bi-Hamiltonian structures of KdV type
- Integrable invariant Sobolev metrics on the Abelian extension of the diffeomorphism group of the circle and two-component generalizations of the Camassa-Holm equation