A Class of New Lie Algebra,the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure |
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| Authors: | Hong Wei Yang Bao Shu Yin Yong Fang |
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| Institution: | 1.Information School,Shandong University of Science and Technology,Qingdao,China;2.Institute of Oceanology,China Academy of Sciences,Qingdao,China;3.Key Laboratory of Ocean Circulation and Wave,Chinese Academy of Sciences,Qingdao,China |
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| Abstract: | A class of new Lie algebra B
3 is constructed, which is far different from the known Lie algebra A
n−1. Based on the corresponding loop algebra (B3)\tilde]\tilde{B_{3}}, the generalized mKdV hierarchy is established. In order to look for the Hamiltonian structure of such integrable system,
a generalized trace functional of matrices is introduced, whose special case is just the well-known trace identity. Finally,
its expanding integrable model is worked out by use of an enlarged Lie algebra. |
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