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 \(\tilde{B_{3}}\), 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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Yang, H.W., Yin, B.S. & Fang, Y. A Class of New Lie Algebra, the Corresponding g-mKdV Hierarchy and Its Hamiltonian Structure. Int J Theor Phys 50, 671–681 (2011). https://doi.org/10.1007/s10773-010-0597-6
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DOI: https://doi.org/10.1007/s10773-010-0597-6