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Indexed by:期刊论文

Date of Publication:2019-01-02

Journal:JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Included Journals:SCIE、Scopus

Volume:26

Issue:1

Page Number:91-97

ISSN No.:1402-9251

Key Words:3-Lie algebra; dKP hierarchy; Integrable systems

Abstract: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.