Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations

DOI10.1063/1.533015zbMath0951.53054arXivsolv-int/9807004OpenAlexW3101996864MaRDI QIDQ4498409

Ian A. B. Strachan

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9807004

zbMATH Keywords

bi-Hamiltonian structurehydrodynamics type bracketrational Lax function

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 (6)

Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems ⋮ Frobenius manifolds: Natural submanifolds and induced bi-Hamiltonian structures. ⋮ Frobenius submanifolds ⋮ The WDVV symmetries in two-primary models ⋮ Degenerate bi-Hamiltonian structures of hydrodynamic type ⋮ Recursion operator and dispersionless rational Lax representation

Cites Work

• Unnamed Item
• Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy
• Dirac reduction of the Hamiltonian operator \(\delta^{IJ}d/dx\) to a submanifold of Euclidean space with flat normal connection
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• A simple model of the integrable Hamiltonian equation
• ON THE GENUS EXPANSION IN THE TOPOLOGICAL STRING THEORY
• Dispersionful analogues of Benney's equations and N -wave systems
• The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies

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