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N = 2 superconformal algebra and integrable O(2) fermionic extensions of the Korteweg-de Vries equation
Institution:1. Laboratoire de Physique Appliquée, Faculté des Sciences, Université de Sfax, B.P. 1171, 3000 Sfax, Tunisia;2. Unité de recherche de Physique des matériaux Isolants et Semi-Isolants, Faculté des sciences de Sfax, Université de Sfax, 3038, Tunisia;3. I3N and Physics Department, University of Aveiro, 3810-193 Aveiro, Portugal;1. School of Science, Shenyang University of Technology, Shenyang, 110870, China;2. School of Electrical Engineering, Shenyang University of Technology, Shenyang, 110870, China;1. Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56100 Pisa, Italy;2. Faculty of Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan;3. IMI–BAS, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria;4. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, PR China
Abstract:The N = 2 superconformal algebra is shown to be related to the second hamiltonian structure of three integrable fermionic extensions of the Korteweg-de Vries equation. One of these systems is bi-hamiltonian but not supersymmetric while the reverse is true for the other two.
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