›› 2014, Vol. 23 ›› Issue (9): 90204-090204.doi: 10.1088/1674-1056/23/9/090204

• GENERAL • 上一篇    下一篇

Homotopic mapping solitary traveling wave solutions for the disturbed BKK mechanism physical model

周先春a b c, 石兰芳d, 韩祥临e, 莫嘉琪f   

  1. a College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    b Jiangsu Technology and Engineering Center for Meteorological Sensor Network, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    c Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    d College of Mathematics and Statistics, Nanjing University of information Science and Technology, Nanjing 210044, China;
    e Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;
    f Department of Mathematics, Anhui Normal University, Wuhu 241003, China
  • 收稿日期:2014-01-14 修回日期:2014-04-16 出版日期:2014-09-15 发布日期:2014-09-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 141275062 and 1202106), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20123228120005), the Jiangsu Sensor Network and Modern Meteorological Equipment Preponderant Discipline Platform, China, the Natural Science Foundation from the Universities of Jiangsu Province, China (Grant No. 13KJB170016), the Advance Research Foundation in Nanjing University of Information Science and Technology of China (Grant No. 20110385), and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A010005).

Homotopic mapping solitary traveling wave solutions for the disturbed BKK mechanism physical model

Zhou Xian-Chun (周先春)a b c, Shi Lan-Fang (石兰芳)d, Han Xiang-Lin (韩祥临)e, Mo Jia-Qi (莫嘉琪)f   

  1. a College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    b Jiangsu Technology and Engineering Center for Meteorological Sensor Network, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    c Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science and Technology, Nanjing 210044, China;
    d College of Mathematics and Statistics, Nanjing University of information Science and Technology, Nanjing 210044, China;
    e Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;
    f Department of Mathematics, Anhui Normal University, Wuhu 241003, China
  • Received:2014-01-14 Revised:2014-04-16 Online:2014-09-15 Published:2014-09-15
  • Contact: Zhou Xian-Chun, Mo Jia-Qi E-mail:zhouxc2008@163.com;mojiaqi@mail.ahnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 141275062 and 1202106), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20123228120005), the Jiangsu Sensor Network and Modern Meteorological Equipment Preponderant Discipline Platform, China, the Natural Science Foundation from the Universities of Jiangsu Province, China (Grant No. 13KJB170016), the Advance Research Foundation in Nanjing University of Information Science and Technology of China (Grant No. 20110385), and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13A010005).

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摘要： Using the trial equation method, a Broer-Kau-Kupershmidt (BKK) mechanism physical model is obtained, and the exact and approximate solitary traveling wave solutions are found. As an example, it is pointed out that the solitary traveling wave approximate solutions have better accurate degree by using the homotopic mapping theory.

关键词: nonlinear, solitary, traveling wave

Abstract: Using the trial equation method, a Broer-Kau-Kupershmidt (BKK) mechanism physical model is obtained, and the exact and approximate solitary traveling wave solutions are found. As an example, it is pointed out that the solitary traveling wave approximate solutions have better accurate degree by using the homotopic mapping theory.

Key words: nonlinear, solitary, traveling wave

中图分类号:  (Approximations and expansions)

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