On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Tovar, Eric; Gu, Haicheng; Qiao, Zhijun
• Is Part Of: Journal of nonlinear mathematical physics. Volume 24:Issue 1(2017)
• Page Start: 29
• Page End: 40
• Publication Date: 2017-01-02
• Subjects: Camassa Holm (CH) equation -- 2dgCH equation -- peakon -- kink-peakon -- 35C07 -- 35C08 -- 37K40; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1274113
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : In this paper, we study a (2 + 1)-dimensional generalized Camassa-Holm (2dgCH) equation with both quadratic and cubic nonlinearity. We derive a peaked soliton (peakon) solution, double-peakon solutions, and kink-peakon solutions. In particular, weak kink - peakon solution is the first time to address in the 2 + 1-dimensional integrable system.