Classification of the associativity equations with a first-order Hamiltonian operator
DOI10.1134/S0040577918100070zbMath1407.81098OpenAlexW2899846540WikidataQ128970265 ScholiaQ128970265MaRDI QIDQ1716183
N. A. Pavlenko, Oleg I. Mokhov
Publication date: 4 February 2019
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577918100070
flat metricHaantjes tensorassociativity equationsDubrovin-Novikov Hamiltonian operatornondiagonalizable system of hydrodynamic type
PDEs in connection with fluid mechanics (35Q35) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Topological field theories in quantum mechanics (81T45)
Related Items (3)
Cites Work
- Criteria for existence of a Hamiltonian structure
- The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type
- 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
- Bi-Hamiltonian structure of a WDVV equation in \(2\)-d topological field theory
- Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
- Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
- THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
- Alternative bi-Hamiltonian structures for WDVV equations of associativity
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