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Formulas for An- and Bn-solutions of WDVV equations

✍ Scribed by S.M. Natanzon

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
123 KB
Volume
39
Category
Article
ISSN
0393-0440

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✦ Synopsis

The simplest non-trivial solutions of WDVV equations are A n -and B n -potentials, which describe metrics of Saito on spaces of versal deformation of A n -and B n -singularities. These are some polynomials, which were known for n ≀ 4. In this paper, we find the potentials for all A n -and B n -singularities. We give a recurrence formula for coefficients of KP and n-KdV hierarchy.

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Algebro-geometric solutions to a hierarc
Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations
✍ Jinbing Chen πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 193 KB

Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integ