Integrable extensions of N = 2 supersymmetric KdV hierarchy associated with the nonuniqueness of the roots of the Lax operator |
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| Institution: | 1. Higher Teachers’ Training College of Maroua, The University of Maroua, P.O. Box. 46, Cameroon;2. Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 46, Cameroon;3. Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Cameroon;4. Department of Physics, Faculty of Science, The University of Yaounde I, P.O. Box 812, Cameroon;1. School of Mathematical Sciences and V.C. & V.R. Key Lab, Sichuan Normal University, Chengdu 610066, PR China;2. Department of Normal Education, Meishan Vocational and Technical College, Meishan 620010, PR China |
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| Abstract: | We present new supersymmetric integrable extensions of the a = 4, N = 2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields. This generalized root generates a new hierarchy of integrable equations, for which we investigate the Hamiltonian structure. In a special case our system describes the interaction of the KdV equation with the two MKdV equations. |
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