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

Xiao Rui Hu; Yong Chen

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

Xiao Rui Hu^*
, Yong Chen

^*此作品的通讯作者

数学科学学院

Zhejiang University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

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.

源语言	英语
文章编号	090203
期刊	Chinese Physics B
卷	24
期	9
DOI	https://doi.org/10.1088/1674-1056/24/9/090203
出版状态	已出版 - 1 9月 2015

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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.",

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N2 - 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.

AB - 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.

KW - (2+1)-dimensional Broer-Kaup-Kupershmidt system

KW - nonlocal symmetry

KW - soliton-cnoidal wave solution

KW - truncated Painleve expansion

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JO - Chinese Physics B

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ER -

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

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