Nonlinear Schrödinger Equation
Envelope Solitons · Modulational Instability · Bright & Dark Solutions
Scenario
Bright soliton (focusing, β<0)
Dark soliton (defocusing, β>0)
Two-soliton collision
Modulational instability
Parameters
Dispersion β:
-1.0
Nonlinearity γ:
1.0
Soliton amplitude A:
1.0
Velocity v:
0.5
Reset
Pause
iψt + β/2·ψxx + γ|ψ|²ψ = 0
Bright soliton: ψ = A·sech(A√(γ/|β|)·(x−vt))·e^(ikx)
Integrable: solitons collide elastically!
Applications: optical fibers, BEC, deep water waves.