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

^*Corresponding author for this work

School of Mathematical Sciences

Zhejiang University of Technology

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English
Article number	090203
Journal	Chinese Physics B
Volume	24
Issue number	9
DOIs	https://doi.org/10.1088/1674-1056/24/9/090203
State	Published - 1 Sep 2015

Keywords

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

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10.1088/1674-1056/24/9/090203

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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.

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

KW - nonlocal symmetry

KW - soliton-cnoidal wave solution

KW - truncated Painleve expansion

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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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Keywords

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