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Dubrovin-Zhang hierarchy for the Hodge integrals

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 نشر من قبل Alexandr Buryak
 تاريخ النشر 2013
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A. Buryak




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In this paper we prove that the generating series of the Hodge integrals over the moduli space of stable curves is a solution of a certain deformation of the KdV hierarchy. This hierarchy is constructed in the framework of the Dubrovin-Zhang theory of the hierarchies of the topological type. It occurs that our deformation of the KdV hierarchy is closely related to the hierarchy of the Intermediate Long Wave equation.

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