Integrable structures of dispersionless systems and differential geometry
DOI10.1134/S0040577917050105zbMath1377.37099arXiv1609.08969OpenAlexW3098532368WikidataQ115248187 ScholiaQ115248187MaRDI QIDQ2404879
Publication date: 21 September 2017
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.08969
moduli space of Riemann surfaceshydrodynamic reductionGibbons-Tsarev systemintegrability of quasilinear systemsWhitham-type hierarchy
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
Cites Work
- Unnamed Item
- Unnamed Item
- On a class of three-dimensional integrable Lagrangians
- A family of \((2+1)\)-dimensional hydrodynamic type systems possessing a pseudopotential
- Integrable pseudopotentials related to generalized hypergeometric functions
- Virasoro algebra and Teichmüller spaces
- Determinant bundles and Virasoro algebras
- Method of averaging for two-dimensional integrable equations
- Theta functions on Riemann surfaces
- On the integrability of \((2+1)\)-dimensional quasilinear systems
- Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
- Integrable systems and quantum groups. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 14-22, 1993
- Reductions of the Benney equations.
- Integrable \((2+1)\)-dimensional systems of hydrodynamic type
- Tau-functions on spaces of Abelian differentials and higher genus generalizations of Ray-Singer formula
- Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 -- July 6, 2013. Selected papers
- Weierstrass points, branch points, and moduli of riemann surfaces
- Kernel functions, analytic torsion, and moduli spaces
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
- The characterization of two-component (2+1)-dimensional integrable systems of hydrodynamic type
- Residues of differentials on curves
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
