NijenhuisG-manifolds and Lenard bicomplexes: A new approach to KP systems |
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| Authors: | F Magri C Morosi G Tondo |
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| Institution: | (1) Dipartimento di Matematica, Università di Milano, Via C. Saldini 50, I-20133 Milano, Italy;(2) Dipartimento di Matematica, Università di Perugia, Via Vanvitelli, I-06100 Perugia, Italy;(3) Dottorato in Matematica, Università di Milano, Via C. Saldini 50, I-20133 Milano, Italy |
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| Abstract: | We suggest a method to extend the theory of recursion operators to integrable Hamiltonian systems in two-space dimensions, like KP systems. The approach aims to stress the conceptual unity of the theories in one and two space dimensions. A sound explanation of the appearance of bilocal operators is also given.Work supported in part by the Italian Ministry of Public Education and by the G.N.F.M. of the Italian C.N.R. |
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