中国物理B ›› 2016, Vol. 25 ›› Issue (6): 60201-060201.doi: 10.1088/1674-1056/25/6/060201

• GENERAL •    下一篇

Nonlocal symmetry and exact solutions of the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation

Li-Li Huang(黄丽丽), Yong Chen(陈勇)   

  1. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China
  • 收稿日期:2015-12-30 修回日期:2016-02-03 出版日期:2016-06-05 发布日期:2016-06-05
  • 通讯作者: Yong Chen E-mail:ychen@sei.ecnu.edu.cn
  • 基金资助:

    Project supported by the Global Change Research Program of China (Grant No. 2015CB953904), the National Natural Science Foundation of China (Grant Nos. 11275072 and 11435005), the Doctoral Program of Higher Education of China (Grant No. 20120076110024), the Network Information Physics Calculation of Basic Research Innovation Research Group of China (Grant No. 61321064), and the Fund from Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things (Grant No. ZF1213).

Nonlocal symmetry and exact solutions of the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation

Li-Li Huang(黄丽丽), Yong Chen(陈勇)   

  1. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China
  • Received:2015-12-30 Revised:2016-02-03 Online:2016-06-05 Published:2016-06-05
  • Contact: Yong Chen E-mail:ychen@sei.ecnu.edu.cn
  • Supported by:

    Project supported by the Global Change Research Program of China (Grant No. 2015CB953904), the National Natural Science Foundation of China (Grant Nos. 11275072 and 11435005), the Doctoral Program of Higher Education of China (Grant No. 20120076110024), the Network Information Physics Calculation of Basic Research Innovation Research Group of China (Grant No. 61321064), and the Fund from Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things (Grant No. ZF1213).

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摘要：

In this paper, the truncated Painlevé analysis, nonlocal symmetry, Bäcklund transformation of the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation are presented. Then the nonlocal symmetry is localized to the corresponding nonlocal group by the prolonged system. In addition, the (2+1)-dimensional modified Bogoyavlenskii-Schiff is proved consistent Riccati expansion (CRE) solvable. As a result, the soliton-cnoidal wave interaction solutions of the equation are explicitly given, which are difficult to find by other traditional methods. Moreover figures are given out to show the properties of the explicit analytic interaction solutions.

关键词: nonlocal symmetry, consistent Riccati expansion, soliton-cnoidal wave solution, (2+1)-dimensional modified Bogoyavlenskii-Schiff equation

Abstract:

In this paper, the truncated Painlevé analysis, nonlocal symmetry, Bäcklund transformation of the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation are presented. Then the nonlocal symmetry is localized to the corresponding nonlocal group by the prolonged system. In addition, the (2+1)-dimensional modified Bogoyavlenskii-Schiff is proved consistent Riccati expansion (CRE) solvable. As a result, the soliton-cnoidal wave interaction solutions of the equation are explicitly given, which are difficult to find by other traditional methods. Moreover figures are given out to show the properties of the explicit analytic interaction solutions.

Key words: (2+1)-dimensional modified Bogoyavlenskii-Schiff equation, nonlocal symmetry, consistent Riccati expansion, soliton-cnoidal wave solution

中图分类号:  (Integrable systems)

  • 02.30.Ik
05.45.Yv (Solitons) 04.20.Jb (Exact solutions)