Quintic Complex Ginzburg-Landau Pulses

QCGL: localized dissipative solitons — stable pulses from gain/loss balance

δ (linear loss)-0.10

ε (cubic gain)0.66

μ (quintic loss)-0.10

β (spectral filter)0.08

ν (quintic dispersion)-0.10

Speed3

Max |A|: —

Energy: —

Pulses: —

Time: 0

QCGL: ∂A/∂t = δA + (1+iβ)∂²A/∂x² + (ε+i)|A|²A + (μ+iν)|A|⁴A. Dissipative solitons exist as fixed points in function space — gain/loss balance at specific amplitude. Used in fiber lasers, pattern formation.