Abstract

Pattern formation is a widespread consequence of nonlinearity in spatially-extended systems. In the subcritical case, both patterned and unpatterned states are stable over a finite parameter range. Within this range localised states and then also cavity solitons (CS) can exist and can be stable only if the unpatterned background solution on which they sit is also stable. Therefore CS should not appear spontaneously on parameter variation by simply overcoming the modulational instability (MI) threshold, but should require a large local perturbation.

© 2007 IEEE