The cubic-quintic complex Ginzburg-Landau equation (CGLE) ∂tA = μA + (1+iα)∂xxA − (1+iβ)|A|²A + (γ+iδ)|A|⁴A governs pattern formation in driven-dissipative systems. Unlike conservative solitons, dissipative solitons are sustained by a balance between gain and loss, forming stable localized structures with fixed amplitude and width.
Watch localized pulses emerge, drift, and interact — stable shapes maintained by gain-loss balance.