Parameters
Mode
Stats
Norm N: —
Peak |ψ|: —
t: 0
Green = |ψ|², Cyan = Re(ψ)
g>0: focusing (solitons)
g<0: defocusing (dispersive)
g>0: focusing (solitons)
g<0: defocusing (dispersive)
The NLS equation i∂ψ/∂t + ½∂²ψ/∂x² + g|ψ|²ψ = 0 governs modulation instability, solitons, and rogue waves. Bright solitons (g>0) are exact solutions ψ = A sech(Ax) e^(iA²t/2). Modulational instability seeds rogue wave formation.