Properties of supersymmetric integrable systems of KP type |
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Authors: | E. Nissimov S. Pacheva |
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Affiliation: | (1) Institute for Nuclear Research and Nuclear Energy, Boul. Tsarigradsko Chausse 72, 1784 Sofia, Bulgaria, BG |
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Abstract: | The recently proposed supersymmetric extensions of reduced Kadomtsev-Petviashvili (KP) integrable hierarchies in N = 1, 2 superspace are shown to contain in the purely bosonic limit new types of ordinary non-supersymmetric integrable systems. The latter are coupled systems of several multi-component non-linear Schr?dinger-like hierarchies whose basic nonlinear evolution equations contain additional quintic and higher-derivative nonlinear terms. Also, we obtain the N = 2 supersymmetric extension of Toda chain model as Darboux-B?cklund orbit of the simplest reduced N = 2 super-KP hierarchy and find its explicit solution. Received 13 September 2001 Published online 2 October 2002 RID="a" ID="a"e-mail: nissimov@inrne.bas.bg RID="b" ID="b"e-mail: svetlana@inrne.bas.bg |
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Keywords: | PACS. 11.30.Pb Supersymmetry – 05.45.Yv Solitons nonlinear dynamics – 02.30.Ik Integrable systems |
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