Links between (γn, σk)-KP Hierarchy, (γn, σk)-mKP Hierarchy, and (2+1)-(γn, σk)-Harry Dym Hierarchy. (14th December 2015)

• Record Type: Journal Article
• Authors: Huang, Yehui; Yao, Yuqin; Zeng, Yunbo
• Other Names: Konopelchenko Boris G. Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2015(2015)
• Publication Date: 2015-12-14
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2015/392723
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : The new (2+1)-( γ n, σ k ) -Harry Dym hierarchy and ( γ n, σ k ) -mKP hierarchy with two new time series γ n and σ k, which consist of γ n -flow, σ k -flow, and mixed γ n and σ k evolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between ( γ n, σ k ) -KP hierarchy, ( γ n, σ k ) -mKP hierarchy, and (2+1)-( γ n, σ k ) -Harry Dym hierarchy are studied. Their soliton solutions are presented.