Stability of two-dimensional finite-amplitude envelope solitons

Vectorial Spatial Solitary Waves and Self Induced Resonant Cavities

“…In the weakly guiding region fl -kn 0i dP/dfl > 0, whereas in a strongly guiding region dP/d$ can be negative, i .e ., $ can decrease with increasing trapping power . Stability analysis of solitary waves [12] trapped in a self focusing medium suggests that within weak guidance dP/d$ > 0 implies stable stationary propagation while dP/dfl < 0 implies unstable propagation . This means that weakly self trapped TM 01 beam in a saturable self focusing medium is stable as in a Kerr law nonlinearity .…”