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Chin. Phys. B, 2009, Vol. 18(8): 3163-3168    DOI: 10.1088/1674-1056/18/8/012
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Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation

Huang Wen-Hua(黄文华)
School of Science, Huzhou University, Huzhou 313000, China
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.
Keywords:  modified dispersive water-wave equation      WTC truncation method      periodic folded wave  
Received:  24 August 2008      Revised:  24 September 2008      Accepted manuscript online: 
PACS:  47.35.Fg (Solitary waves)  
  05.45.Yv (Solitons)  
Fund: Project supported in part by National Natural Science Foundation of China (Grant No 10772110).

Cite this article: 

Huang Wen-Hua(黄文华) Periodic folded waves for (2+1)-dimensional modified dispersive water wave equation 2009 Chin. Phys. B 18 3163

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