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Hamiltonian structure of multi component integrable systems
Authors:Devrim Yazici  Oya O?uz  Omer O?uz
Institution:1. Physics Department, Yildiz Technical University, Davutpasa Campus, 34010, Istanbul, Turkey
2. Istanbul Commerce University, 34378, Eminonu, Istanbul, Turkey
3. Physics Department, Bogazi?i University, 80815, Bebek, Istanbul, Turkey
Abstract:In this work we have generalized the super KdV equation into a multicomponent super KdV equation. It is shown that the system is bi-super Hamiltonian. The third super Hamiltonian in the multicomponent super KdV hierarchy is obtained and the corresponding first and second members of evolution equations are given. Presented at the 10th International Colloquium on Quantum Groups: “Quantum Groups and Integrable Systems”, Prague, 21–23 June 2001. This work is supported by Yildiz Technical University Foundation under project No. 21-01-01-02.
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