On properties of Hamiltonian structures for a class of evolutionary PDEs

DOI10.1007/s11005-008-0234-yzbMath1153.37418arXiv0711.2599OpenAlexW2131168379MaRDI QIDQ934993

Si-Qi Liu, Chao-Zhong Wu, You-Jin Zhang

Publication date: 31 July 2008

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2599

zbMATH Keywords

Hamiltonian structurequasi-trivialityquasi-Miura transformation

Mathematics Subject Classification ID

Related Items (8)

Bihamiltonian cohomologies and integrable hierarchies. I: A special case ⋮ Hamiltonian perturbations at the second-order approximation ⋮ Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures ⋮ Jacobi structures of evolutionary partial differential equations ⋮ The Hodge-FVH correspondence ⋮ Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies ⋮ On critical behaviour in systems of Hamiltonian partial differential equations ⋮ Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• 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 Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Analytic linearization of the Korteweg-de Vries equation
• Les variétés de Poisson et leurs algèbres de Lie associees
• A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ
• Non linear representations of Lie groups
• Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations
• Prolongation algebras and Hamiltonian operators for peakon equations
• On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations

This page was built for publication: On properties of Hamiltonian structures for a class of evolutionary PDEs