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WDVV Equations, Darboux-Egoroff Metric and the Dressing Method

2002/10/21 by H. Aratyn, J. F. Gomes, Aratyn, H. +5
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.math-ph/0210038

Contribution to the conference "Workshop on Integrable Theories, Solitons and Duality", Unesp2002, LaTeX file w. JHEP style file

arxiv created 2002/10/21 · arxiv updated 2009/11/30

Abstract

Dressing technique is used to construct commuting Lax operators which provide an integrable (canonical) structure behind Witten--Dijkgraaf--Verlinde--Verlinde equations. The commuting flows are related to the isomonodromic flows. Examples of the canonical integrable structure are given in two- and three-dimensional cases. The three-dimensional example is associated with the rational Landau-Ginzburg potentials.

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