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Two Kinds of New Lie Algebras for Producing Integrable Couplings
Authors:YAN Qing-You QI Jian-Xun
Institution:School of Business Administration, North China Electric Power University, Beijing 102206, China School of Business Administration, North China Electric Power University, Beijing 102206, China
Abstract:Two types of Lie algebras are constructed, which are directly used to deduce the two resulting integrable coupling systems with multi-component potential functions. Many other integrable couplings of the known integrable systems may be obtained by the approach.
Keywords:KN hierarchy  integrable couplings  Lie algebra  loop algebra
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