2003/12/22 by H. J. Shin · 1 citation
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1088/0305-4470/37/33/004
8 figures
arxiv created 2003/12/22 · arxiv updated 2009/12/01
An application of the Darboux transformation on a cnoidal wave background in the coupled nonlinear Schrödinger equation gives a new solution which describes a soliton moving on a cnoidal wave. This is a generalized version of the previously known soliton solutions of dark-bright pair. Here a dark soliton resides on a cnoidal wave instead of on a constant background. It also exhibits a new types of soliton solution in a self-focusing medium, which describes a breakup of a generalized dark-bright pair into another generalized dark-bright pair and an "oscillating" soliton. We calculate the shift of the crest of the cnoidal wave along a soliton and the moving direction of the soliton on a cnoidal wave.