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

作　　者：黄文华 

机构地区：[1]School of Science,Huzhou University

出　　处：《Chinese Physics B》2009年第8期3163-3168,共6页中国物理B（英文版）

基　　金：supported in part by National Natural Science Foundation of China (Grant No 10772110)

摘　　要：A general solution, including three arbitrary functions, is obtained for a （2~l）-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.A general solution, including three arbitrary functions, is obtained for a （2~l）-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.

关 键 词：modified dispersive water-wave equation WTC truncation method periodic folded wave 

分 类 号：O411.1[理学—理论物理] TV131.2[理学—物理]