Nonlocal symmetries, consistent Riccati expansion integrability, and their applications of the (2+1)-dimensional Broer-Kaup-Kupershmidt system

doi:10.1088/1674-1056/24/9/090203

Abstract For the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system, the nonlocal symmetries related to the Schwarzian variable and the corresponding transformation group are found. Moreover, the integrability of the BKK system in the sense of having a consistent Riccati expansion (CRE) is investigated. The interaction solutions between soliton and cnoidal periodic wave are explicitly studied.

Keywords: nonlocal symmetry truncated Painlevé expansion soliton-cnoidal wave solution (2+1)-dimensional Broer-Kaup-Kupershmidt system

Received: 06 April 2015
Revised: 11 May 2015
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	04.20.Jb	(Exact solutions)

Fund: Project supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ13A010014) and the National Natural Science Foundation of China (Grant Nos. 11326164, 11401528, 11435005, and 11375090).

Corresponding Authors: Hu Xiao-Rui
E-mail: lansexiaoer@163.com

Cite this article:

Hu Xiao-Rui (胡晓瑞), Chen Yong (陈勇) Nonlocal symmetries, consistent Riccati expansion integrability, and their applications of the (2+1)-dimensional Broer-Kaup-Kupershmidt system 2015 Chin. Phys. B 24 090203

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Nonlocal symmetries, consistent Riccati expansion integrability, and their applications of the (2+1)-dimensional Broer-Kaup-Kupershmidt system

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