Bi-Hamiltonian structure of a WDVV equation in \(2\)-d topological field theory

DOI10.1016/S0375-9601(97)00061-3zbMath0962.58501WikidataQ126550935 ScholiaQ126550935MaRDI QIDQ1968186

J. Kalayci, Yavuz Nutku

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Moduli problems for topological structures (58D29)

Related Items (9)

Systems of conservation laws with third-order Hamiltonian structures ⋮ Integrable structures for a generalized Monge-Ampère equation ⋮ On a class of third-order nonlocal Hamiltonian operators ⋮ Computing with Hamiltonian operators ⋮ Classification of the associativity equations with a first-order Hamiltonian operator ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ Projective-geometric aspects of homogeneous third-order Hamiltonian operators ⋮ On the bi-Hamiltonian geometry of WDVV equations

Cites Work

• Bianchi transformation between the real hyperbolic Monge-Ampère equation and the Born-Infeld equation
• Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory
• On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants
• Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants
• A simple model of the integrable Hamiltonian equation
• Differential geometric Poisson bivectors in one space variable
• Hamiltonian structure of real Monge - Ampère equations
• Hamiltonian structure of Dubrovin’s equation of associativity in 2-d topological field theory
• Foundations of Quantum Mechanics

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