Discrete dark solitons with multiple holes

Hadi Susanto, Magnus Johansson

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16 Scopus citations

Abstract

We consider staggered dark solitons admitted by the discrete nonlinear Schrödinger equation with focusing cubic nonlinearity. In particular, we focus on the study of dark solitons with several holes characterized by the number of zeros in the uncoupled case. Such structures reveal interesting behaviors, such as stable intersite dark solitons. All of the structures have no counterpart in the strong coupling limit since they disappear in a saddle-node bifurcation. We also consider the evolution of structures with multiple holes representing an interaction between multiple dark solitons in a very discrete case.

Original languageBritish English
Article number016605
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number1
DOIs
StatePublished - Jul 2005

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