On the Whitham hierarchy: dressing scheme, string equations and additional symmetries

DOI10.1088/0305-4470/39/10/008zbMath1092.35520arXivnlin/0509017OpenAlexW2131458316MaRDI QIDQ3376784

Elena Medina, Manuel Mañas, Luis Martínez-Alonso

Publication date: 24 March 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0509017

zbMATH Keywords

quasiconformal mapsVirasoro algebrassymplectic transformationsdispersionless integrable models

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 infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (10)

String equations in Whitham hierarchies: τ-functions and Virasoro constraints ⋮ Lie-algebraic structure of Lax-Sato integrable heavenly equations and the Lagrange-d'Alembert principle ⋮ Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I ⋮ Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions ⋮ Universal Whitham hierarchy, dispersionless Hirota equations and multicomponent KP hierarchy ⋮ Integrable \((2+1)\)-dimensional systems of hydrodynamic type ⋮ Kernel formula approach to the universal Whitham hierarchy ⋮ Classical M. A. Buhl problem, its Pfeiffer-Sato solutions, and the classical Lagrange-d'Alembert principle for the integrable heavenly-type nonlinear equations ⋮ Dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics ⋮ Dispersionful analog of the Whitham hierarchy

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