中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3163-3168.doi: 10.1088/1674-1056/18/8/012

• GENERAL • 上一篇    下一篇

Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation

黄文华   

  1. School of Science, Huzhou University, Huzhou 313000, China
  • 收稿日期:2008-08-24 修回日期:2008-09-24 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported in part by National Natural Science Foundation of China (Grant No 10772110).

Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation

Huang Wen-Hua(黄文华)†   

  1. School of Science, Huzhou University, Huzhou 313000, China
  • Received:2008-08-24 Revised:2008-09-24 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported in part by National Natural Science Foundation of China (Grant No 10772110).

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摘要： A general solution, including three arbitrary functions, is obtained for a (2+1)-dimensional modified dispersive water-wave (MDWW) equation by means of the WTC truncation method. Introducing proper multiple valued functions and Jacobi elliptic functions in the seed solution, special types of periodic folded waves are derived. In the long wave limit these periodic folded wave patterns may degenerate into single localized folded solitary wave excitations. The interactions of the periodic folded waves and the degenerated single folded solitary waves are investigated graphically and found to be completely elastic.

Abstract: A general solution, including three arbitrary functions, is obtained for a (2+1)-dimensional modified dispersive water-wave (MDWW) equation by means of the WTC truncation method. Introducing proper multiple valued functions and Jacobi elliptic functions in the seed solution, special types of periodic folded waves are derived. In the long wave limit these periodic folded wave patterns may degenerate into single localized folded solitary wave excitations. The interactions of the periodic folded waves and the degenerated single folded solitary waves are investigated graphically and found to be completely elastic.

Key words: modified dispersive water-wave equation, WTC truncation method, periodic folded wave

中图分类号:  (Solitary waves)

  • 47.35.Fg
05.45.Yv (Solitons)