Abstract
Based on the fundamental special Lie algebra [Formula: see text], some semi-direct sums are presented. Then, a new semi-direct sum Lie algebra [Formula: see text] is constructed. The method presented in this paper can be used to obtain other higher-dimensional Lie algebra. Making use of the above Lie algebra, three integrable couplings of the new Bargmann type lattice hierarchy are obtained.
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Schedule a callMore From: Modern physics letters. B, Condensed matter physics, statistical physics, applied physics
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