Hamiltonian PDEs and Frobenius manifolds

DOI10.1070/RM2008v063n06ABEH004575zbMath1170.53072OpenAlexW1978588443MaRDI QIDQ3632948

B. A. Dubrovin

Publication date: 16 June 2009

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2008v063n06abeh004575

zbMATH Keywords

Miura transformationsintegrable hierarchiesuniversality conjecturegradient catastrophe

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (4)

Second-order integrable Lagrangians and WDVV equations ⋮ Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions ⋮ Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation

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