期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 37, 期 33, 页码 8017-8030出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/37/33/004
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An application of the Darboux transformation on a cnoidal wave background in the coupled nonlinear Schrodinger 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 type 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.
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