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We uncover that, in contrast to the common belief, stable dissipativesolitons exist in media with uniform gain in the presence of nonuniform cubiclosses, whose local strength grows with coordinate x (in one dimension) fasterthan |x|. The spatially-inhomogeneous absorption also supports new types ofsolitons, that do not exist in uniform dissipative media. In particular,single-well absorption profiles give rise to spontaneous symmetry breaking offundamental solitons in the presence of uniform focusing nonlinearity, whilestable dipoles are supported by double-well absorption landscapes. Dipolesolitons also feature symmetry breaking, but under defocusing nonlinearity.

Solitons supported by spatially inhomogeneous nonlinear losses