Nonlinear Schrödinger Equation
Soliton Propagation & Collision
|ψ|² density
Re(ψ)
Im(ψ)
i∂ψ/∂t = −½∂²ψ/∂x² − g|ψ|²ψ (focusing NLS, g>0)
Bright solitons: ψ(x,t) = A·sech(A(x−vt))·e^{ivx−i(v²−A²)t/2}
Two solitons collide elastically, emerging unchanged in shape.