Hamiltonian Structures for General PDEs

DOI10.1007/978-3-642-00873-3_9zbMath1180.37092arXiv0812.4895OpenAlexW1660054035WikidataQ57555710 ScholiaQ57555710MaRDI QIDQ3401696

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Publication date: 1 February 2010

Published in: Differential Equations - Geometry, Symmetries and Integrability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4895

zbMATH Keywords

Camassa-Holm equationbi-Hamiltonian systemHamiltonian differential equationnon-evolution equationKupershmidt's deformation

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)

Related Items (9)

A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ A unified approach to computation of integrable structures ⋮ Bihamiltonian cohomologies and integrable hierarchies. I: A special case ⋮ Geometry of jet spaces and integrable systems ⋮ Computing with Hamiltonian operators ⋮ Integrability of \(S\)-deformable surfaces: conservation laws, Hamiltonian structures and more ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Jacobi structures of evolutionary partial differential equations ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation

Cites Work

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• KdV6: an integrable system
• The Hamilton property of stationary and inverse equations of condensed matter mechanics and mathematical physics
• Integrability of Kupershmidt deformations
• Partial differential equations VIII. Overdetermined systems. Dissipative singular Schrödinger operator. Index theory. Transl. from the Russian by C. Constanda
• A new integrable generalization of the Korteweg–de Vries equation

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