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Soliton complexes in dissipative systems: Vibrating, shaking, and mixed soliton pairs

AuthorsSoto Crespo, J. M. ; Grelu, Ph.; Akhmediev, N. ; Devine, N.
Issue Date2007
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 75: 016613 (2007)
AbstractWe show, numerically, that coupled soliton pairs in nonlinear dissipative systems modeled by the cubic-quintic complex Ginzburg-Landau equation can exist in various forms. They can be stationary, or they can pulsate periodically, quasiperiodically, or chaotically, as is the case for single solitons. In particular, we have found various types of vibrating and shaking soliton pairs. Each type is stable in the sense that a given bound state exists in the same form indefinitely. New solutions appear at special values of the equation parameters, thus bifurcating from stationary pairs. We also report the finding of mixed soliton pairs, formed by two different types of single solitons. We present regions of existence of the pair solutions and corresponding bifurcation diagrams. © 2007 The American Physical Society.
Identifiersdoi: 10.1103/PhysRevE.75.016613
issn: 1539-3755
Appears in Collections:(CFMAC-IO) Artículos
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