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论文类型：期刊论文

发表时间：2019-01-02

发表刊物：JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

收录刊物：SCIE、Scopus

卷号：26

期号：1

页面范围：91-97

ISSN号：1402-9251

关键字：3-Lie algebra; dKP hierarchy; Integrable systems

摘要：In terms of a 3-Lie algebra and the classical Poisson bracket {B-n, L} of the dKP hierarchy, a special 3-bracket {B-m, B-n, L} is proposed. When m = 0 or m = 1, the 3-lax equation is the dKP hierarchy and the corresponding proof is given. Meanwhile, for the generalized case (m, n), the generalized dKP hierarchy is also investigated.