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

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/24/9/090203

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

胡晓瑞^a, 陈勇^b

a Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China;
b Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

收稿日期:2015-04-06 修回日期:2015-05-11 出版日期:2015-09-05 发布日期:2015-09-05
基金资助:
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).

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

Hu Xiao-Rui (胡晓瑞)^a, Chen Yong (陈勇)^b

a Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China;
b Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

Received:2015-04-06 Revised:2015-05-11 Online:2015-09-05 Published:2015-09-05
Contact: Hu Xiao-Rui E-mail:lansexiaoer@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

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

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.

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

中图分类号: (Integrable systems)

02.30.Ik

05.45.Yv (Solitons) 04.20.Jb (Exact solutions)

胡晓瑞, 陈勇. Nonlocal symmetries, consistent Riccati expansion integrability, and their applications of the (2+1)-dimensional Broer-Kaup-Kupershmidt system[J]. 中国物理B, 2015, 24(9): 90203-090203.

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[J]. Chin. Phys. B, 2015, 24(9): 90203-090203.

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

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

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