Recurrent procedure for the determination of the free energy ε^2 expansion in the topological string theory

dc.contributor.areaMathematicsen_US
dc.contributor.authorDubrovin, Boris
dc.contributor.authorMaltsev, Andrei Ya A
dc.date.accessioned2013-02-14T08:11:55Z
dc.date.available2013-02-14T08:11:55Z
dc.date.issued1999-03-30
dc.description.abstractWe present here the iteration procedure for the determination of free energy ǫ2-expansion using the theory of KdV - type equations. In our approach we use the conservation laws for KdV - type equations depending explicitly on times t1, t2, . . . to find the ǫ2-expansion of u(x, t1, t2, . . .) after the infinite number of shifts of u(x, 0, 0, . . .) ≡ x along t1, t2, . . . in recurrent form. The formulas for the free energy expansion are just obtained then as a result of quite simple integration procedure applied to un(x).en_US
dc.identifier.citationarXiv:solv-int/990400en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/6489
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesarXiv:solv-int/990400;
dc.subject.miurMAT/07 FISICA MATEMATICA
dc.titleRecurrent procedure for the determination of the free energy ε^2 expansion in the topological string theoryen_US
dc.typePreprinten_US
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