Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2012-01-17
Optics Express 20, 2657-2667 (2012)
Nonlinear Sciences
Pattern Formation and Solitons
an extended version of a paper to be published in Optics Express
Scientific paper
We uncover that, in contrast to the common belief, stable dissipative solitons exist in media with uniform gain in the presence of nonuniform cubic losses, whose local strength grows with coordinate x (in one dimension) faster than |x|. The spatially-inhomogeneous absorption also supports new types of solitons, that do not exist in uniform dissipative media. In particular, single-well absorption profiles give rise to spontaneous symmetry breaking of fundamental solitons in the presence of uniform focusing nonlinearity, while stable dipoles are supported by double-well absorption landscapes. Dipole solitons also feature symmetry breaking, but under defocusing nonlinearity.
Borovkova Olga V.
Kartashov Yaroslav V.
Lobanov Valery E.
Malomed Boris A.
Torner Lluis
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