2004/10/31 by H. J. Shin · 2 citations
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1088/0305-4470/38/15/006
11 pages, 5 figures, Contents changed
arxiv created 2007/08/08 · arxiv updated 2009/12/01
The method of Darboux transformation, which is applied on cnoidal wave solutions of the sine-Gordon equation, gives solitons moving on a cnoidal wave background. Interesting characteristics of the solution, i.e., the velocity of solitons and the shift of crests of cnoidal waves along a soliton, are calculated. Solutions are classified into three types (Type-1A, Type-1B, Type-2) according to their apparent distinct properties.