Integrable structures of dispersionless systems and differential geometry
| Autor: | Alexander Odesskii |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Hierarchy
Pure mathematics Integrable system Nonlinear Sciences - Exactly Solvable and Integrable Systems 010102 general mathematics FOS: Physical sciences Statistical and Nonlinear Physics Construct (python library) Mathematical Physics (math-ph) 01 natural sciences Moduli space Nonlinear Sciences::Exactly Solvable and Integrable Systems Differential geometry Genus (mathematics) 0103 physical sciences 010307 mathematical physics Algebraic curve 0101 mathematics Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics Mathematics |
| DOI: | 10.48550/arxiv.1609.08969 |
| Popis: | We develop the theory of Whitham type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an application we construct Gibbons-Tsarev systems associated to moduli space of algebraic curves of arbitrary genus and prove that the universal Whitham hierarchy is integrable by hydrodynamic reductions. Comment: 23 pages, Latex, overlapped with arXiv:1505.07779 [math.AG] but different emphasis is given here: this paper is designed for Integrable systems community |
| Databáze: | OpenAIRE |
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