A 3-Lie algebra and the dKP Hierarchy. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Chen, Min-Ru; Chen, Ying; Yan, Zhao-Wen; Mei, Jian-Qin; Wang, Xiao-Li
• Is Part Of: Journal of nonlinear mathematical physics. Volume 26:Issue 1(2019)
• Page Start: 91
• Page End: 97
• Publication Date: 2019-01-02
• Subjects: 3-Lie algebra -- dKP hierarchy -- Integrable systems; 37K10 -- 35Q53; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2019.1544791
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : In terms of a 3-Lie algebra and the classical Poisson bracket { Bn, L } of the dKP hierarchy, a special 3-bracket { Bm, Bn, 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.