Browsing by Author "Maltsev, Andrei Ya A"

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    Recurrent procedure for the determination of the free energy ε^2 expansion in the topological string theory
    (SISSA, 1999-03-30) Dubrovin, Boris; Maltsev, Andrei Ya A; Mathematics
    We 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).