Differential geometry of strongly integrable systems of hydrodynamic type

DOI10.1007/BF01077332zbMath0850.76008OpenAlexW1985388273WikidataQ115394332 ScholiaQ115394332MaRDI QIDQ1814616

B. A. Dubrovin

Publication date: 25 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077332

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Fluid mechanics (76-XX)

Related Items (9)

Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations ⋮ On a reduction of the generalized Darboux-Halphen system ⋮ Description of the \(n\)-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type. I: Integration of the Lamé equations ⋮ Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets ⋮ On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system ⋮ Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties ⋮ Some explicit solutions of the Lamé and Bourlet type equations ⋮ Equations with an infinite number of explicit conservation laws ⋮ On a (2+1)-dimensional Darboux system: integrable and geometric connections.

Cites Work

• Method of averaging for two-dimensional integrable equations
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
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