Integrable structures of dispersionless systems and differential geometry
classification
🌊 nlin.SI
math-phmath.MP
keywords
integrablehydrodynamicreductionssystemstheorywhithamalgebraicapplication
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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.
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