On the Hamiltonian and Lagrangian structures of time-dependent reductions of evolutionary PDEs

DOI10.1016/S0926-2245(00)00004-8zbMath1027.37044arXivmath/0112255OpenAlexW2002786223WikidataQ115338457 ScholiaQ115338457MaRDI QIDQ1608956

Monica Ugaglia

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112255

zbMATH Keywords

integrable systemsLagrangian formulationreductionsPainlevé equationsevolutionary PDEsfinite-dimensional Hamiltonian structurescaling symmetriestheory of Frobenius manifolds

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) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Nonlinear higher-order PDEs (35G20)

Related Items

Nonautonomous Hamiltonian systems related to higher Hitchin integrals

Cites Work

• The relationship between Hamiltonian formalisms of stationary and nonstationary problems
• ON THE HAMILTONIAN PROPERTY OF AN ARBITRARY EVOLUTION SYSTEM ON THE SET OF STATIONARY POINTS OF ITS INTEGRAL
• The inverse scattering transform: Semi-infinite interval
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