Soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation. (5th August 2020)

• Record Type: Journal Article
• Authors: Ma, Hongcai; Cheng, Qiaoxin; Deng, Aiping
• Is Part Of: Communications in theoretical physics. Volume 72:Number 9(2020)
• Publication Date: 2020-08-05
• Subjects: the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation -- soliton molecules -- hybrid solutions -- velocity resonance -- long-wave limit; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/aba23f
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: Soliton molecules have become one of the hot topics in recent years. In this article, we investigate soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt (gKDKK) equation by using the velocity resonance, module resonance, and long wave limits methods. By selecting some specific parameters, we can obtain soliton molecules and asymmetric soliton molecules of the gKDKK equation. And the interactions among N-soliton molecules are elastic. Furthermore, some novel hybrid solutions of the gKDKK equation can be obtained, which are composed of lumps, breathers, soliton molecules and asymmetric soliton molecules. Finally, the images of soliton molecules and some novel hybrid solutions are given, and their dynamic behavior is analyzed.