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Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy (2005.05204v1)
Published 11 May 2020 in math-ph, math.MP, and nlin.SI
Abstract: We construct a class of infinite-dimensional Frobenius manifolds on the spaces of pairs of meromorphic functions with a pole at infinity and a movable pole. Such Frobenius manifolds are shown to be underlying the universal Whitham hierarchy, which is an extension of the dispersionless Kadomtsev-Petviashvili hierarchy.
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