Scalar and vector localized leaky waves through self-defocusing nonlinearity

A soleakon - a recently proposed entity in nonlinear wave dynamics - is a nonlinear localized wave that induces a leaky waveguide and populates its mode self-consistently and robustly. Soleakons quasitrap themselves for large propagation distances, during which they slowly emit radiation that eventually results in their abrupt disintegration. We propose bright soleakons that are solely supported by self-defocusing nonlinearity. We demonstrate numerically scalar bell (fundamental) and dipole soleakons, as well as multimode vector soleakons. We find that the threshold power for disintegration of dipole soleakons is much larger than the threshold disintegration power of bell soleakons. In the bell-dipole vector soleakon case, the two modes can disintegrate collectively when their joint power reaches a threshold value that is between the threshold power for the scalar fundamental and dipole soleakons.