Linearly degenerate Hamiltonian PDEs and a new class of solutions to the WDVV associativity equations

DOI10.1007/s10688-011-0030-9zbMath1271.37044arXiv1401.0719OpenAlexW1972126405MaRDI QIDQ366323

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 12 September 2013

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

Full work available at URL: https://arxiv.org/abs/1401.0719

zbMATH Keywords

algebraic Riccati equationFrobenius manifoldlinearly degenerate PDEsWDVV associativity equations

Mathematics Subject Classification ID

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

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Hamiltonian systems of Jordan block type: Delta-functional reductions of the kinetic equation for soliton gas

Cites Work

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• Kinetic equation for a soliton gas and Its hydrodynamic reductions
• The construction of Frobenius manifolds from KP tau-functions
• Differential geometry of strongly integrable systems of hydrodynamic type