Discrete Rogue Waves
Discrete Rogue Waves
This Demonstration shows the development of a discrete rogue wave according to the commonly used Ablowitz–Ladik equation: . As one application, such a wave can model light propagation in strongly interacting parallel optical waveguides. The amplitude, , is defined only at a discrete set of sites (), although the propagation variable is continuous.
i'(t)+((t)+(t))1+2(t)=0
ψ
n
ψ
n+1
ψ
n1
ψ
n
2

ψ
n

ψ
n
n=0,1,2,...
t