Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2019-01-02

Journal: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Included Journals: Scopus、SCIE

Volume: 26

Issue: 1

Page Number: 91-97

ISSN: 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.