Compatible pairs of Dubrovin-Novikov Poisson brackets and Lagrangian representations of integrable hierarchies

DOI10.1134/S0081543824020135MaRDI QIDQ6633157

M. V. Pavlov

Publication date: 5 November 2024

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

conservation lawHamiltonian structureintegrable systemlocal Lagrangiancommuting flow

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Systems of nonlinear first-order PDEs (35F50)

Cites Work

• Title not available (Why is that?)
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• The description of pairs of compatible first-order differential geometric Poisson brackets
• Tri-Hamiltonian structures of Egorov systems of hydrodynamic type
• Differential geometry of strongly integrable systems of hydrodynamic type
• Compatible Poisson brackets of hydrodynamic type
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Hamiltonian PDEs and Frobenius manifolds
• On compatible Poisson structures of hydrodynamic type
• Integrable bi-Hamiltonian systems of hydrodynamic type
• THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
• Multi-Lagrangians for integrable systems
• On the local systems Hamiltonian in the weakly non-local Poisson brackets

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