Solutions of the WDVV Equations and Integrable Hierarchies of KP Type |
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| Authors: | Henrik Aratyn Johan van de Leur |
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| Institution: | (1) Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059, USA;(2) Mathematical Institute, University of Utrecht, 80010, 3508 TA Utrecht, The Netherlands |
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| Abstract: | We show that reductions of KP hierarchies related to the loop algebra of SLn with homogeneous gradation give solutions of the Darboux-Egoroff system of PDE's. Using explicit dressing matrices of the Riemann-Hilbert problem generalized to include a set of commuting additional symmetries, we construct solutions of the Witten– Dijkgraaf–E. Verlinde–H. Verlinde equations. |
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