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Creeping solitons in dissipative systems and their bifurcations
Wonkeun Chang1, Adrian Ankiewicz, Nail Akhmediev
1Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia.
Abstract:
We present a detailed numerical study of creeping solitons in dissipative systems. A bifurcation diagram has been constructed for the region of transition between solitons and fronts. It shows a rich variety of transitions between various types of localized solutions. For the first time, we have found a sequence of period-doubling bifurcations of creeping solitons, and also a symmetry-breaking instability of creeping solitons. Creeping solitons may involve many frequencies in their dynamics, and this can result, in particular, in a multiplicity of zig-zag motions.
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