Projective-geometric aspects of bi-Hamiltonian structures of KdV type

DOI10.1090/conm/788/15825zbMath1527.37071OpenAlexW4387302450MaRDI QIDQ6073422

Publication date: 15 September 2023

Published in: The Diverse World of PDEs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/788/15825

zbMATH Keywords

classification KdV hierarchy bi-Hamiltonian structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Cites Work

Unnamed Item
Unnamed Item
Deformations of semisimple bihamiltonian structures of hydrodynamic type
Projective-geometric aspects of homogeneous third-order Hamiltonian operators
On the structure of Hamiltonian operators in field theory
Hamiltonian differential operators and contact geometry
The symbolic computation of integrability structures for partial differential equations
WDVV equations and invariant bi-Hamiltonian formalism
Homogeneous Hamiltonian operators and the theory of coverings
Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures
Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies, and multicomponent Hunter-Saxton equations
Novikov Algebras and a Classification of Multicomponent Camassa-Holm Equations
On a Camassa–Holm type equation with two dependent variables
Local third-order Poisson brackets
A simple model of the integrable Hamiltonian equation
Differential geometric Poisson bivectors in one space variable
On third-order Poisson brackets of differential geometry
Central invariants revisited
Towards the Classification of Homogeneous Third-Order Hamiltonian Operators: Table 1.
Bi-Hamiltonian structures of KdV type
On non-degenerate differential-geometric Poisson brackets of third order
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
Three computational approaches to weakly nonlocal Poisson brackets
On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations
Weakly nonlocal Poisson brackets: tools, examples, computations

This page was built for publication: Projective-geometric aspects of bi-Hamiltonian structures of KdV type