Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40202-040202.doi: 10.1088/1674-1056/22/4/040202

• GENERAL • 上一篇    下一篇

Finite symmetry transformation group and localized structures of (2+1)-dimensional coupled Burgers equation

雷娅, 杨铎   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • 收稿日期:2012-09-18 修回日期:2012-10-17 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11175092), the Scientific Research Fund of Education Department of Zhejiang Province of China (Grant No. Y201017148), and K. C. Wong Magna Fund in Ningbo University.

Finite symmetry transformation group and localized structures of (2+1)-dimensional coupled Burgers equation

Lei Ya (雷娅), Yang Duo (杨铎)   

  1. Faculty of Science, Ningbo University, Ningbo 315211, China
  • Received:2012-09-18 Revised:2012-10-17 Online:2013-03-01 Published:2013-03-01
  • Contact: Yang Duo E-mail:1975866787@qq.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11175092), the Scientific Research Fund of Education Department of Zhejiang Province of China (Grant No. Y201017148), and K. C. Wong Magna Fund in Ningbo University.

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摘要： In this paper, the finite symmetry transformation group of the (2+1)-dimensional coupled Burgers equation is studied by the modified direct method, and with the help of the truncated Painlevé expansion approach, some special types of localized structure for the (2+1)-dimensional coupled Burgers equation are obtained, especially, the dromion-like and solitoff-like structures.

关键词: finite transformation group, modified direct method, truncated Painlevé expansion approach, localized structure

Abstract: In this paper, the finite symmetry transformation group of the (2+1)-dimensional coupled Burgers equation is studied by the modified direct method, and with the help of the truncated Painlevé expansion approach, some special types of localized structure for the (2+1)-dimensional coupled Burgers equation are obtained, especially, the dromion-like and solitoff-like structures.

Key words: finite transformation group, modified direct method, truncated Painlevé expansion approach, localized structure

中图分类号:  (Partial differential equations)

  • 02.30.Jr
47.10.ab (Conservation laws and constitutive relations) 02.30.Ik (Integrable systems)