| Title | Recurrent procedure for the determination of the free energy ε^2 expansion in the topological string theory |
| Publication Type | Preprint |
| 1999 | |
| Authors | Dubrovin, B, Maltsev, AYa A |
| Series Title | arXiv:solv-int/990400 |
| Document Number | arXiv:solv-int/990400; |
| Institution | SISSA |
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). | |
| http://hdl.handle.net/1963/6489 |
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