Recurrent procedure for the determination of the Free Energy $ε^{2}$-expansion in the Topological String Theory

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dc.creatorDubrovin, B. A.
dc.creatorMaltsev, A. Ya.
dc.date1999-03-30
dc.date.accessioned2026-07-07T06:17:47Z
dc.date.available2026-07-07T06:17:47Z
dc.descriptionWe present here the iteration procedure for the determination of free energy $ε^{2}$-expansion using the theory of KdV - type equations. In our approach we use the conservation laws for KdV - type equations depending explicitly on times $t_{1}, t_{2}, ...$ to find the $ε^{2}$-expansion of $u(x,t_{1},t_{2},...)$ after the infinite number of shifts of $u(x,0,0,...) \equiv x$ along $t_{1}, t_{2}, ...$ in recurrent form. The formulas for the free energy expansion are just obtained then as a result of quite simple integration procedure applied to $u_{n}(x)$.
dc.description18 pages, Latex
dc.identifierhttps://arxiv.org/abs/solv-int/9904004
dc.identifierhttp://arxiv.org/abs/solv-int/9904004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94509
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleRecurrent procedure for the determination of the Free Energy $ε^{2}$-expansion in the Topological String Theory
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