Dark soliton

For the normalization

- 2 i ψ_{t} = ψ_{xx} + (1 - ∣ ψ ∣^{2}) ψ,

a dark soliton of speed

0 \leq U < 1/ 2

ψ_{0} (ξ) = 1 - 2 U^{2} tanh (\frac{1 - 2 U ^{2}}{2} ξ) + i 2 U, ξ = x - U t .

 Ancestors (5)