Discrete Rogue Waves

propagation distance t

-0.052

offset k

-0.035

scaling coefficient q

0.688

discrete rogue wave

basic

second order

This Demonstration shows the development of a discrete rogue wave according to the commonly used Ablowitz–Ladik equation:

i

ψ

n

'(t)+(

ψ

n+1

(t)+

ψ

n-1

(t))1+

ψ

n

2

|

-2

ψ

n

(t)=0

. As one application, such a wave can model light propagation in strongly interacting parallel optical waveguides. The amplitude,

|

ψ

n

|

, is defined only at a discrete set of sites (

n=0,1,2,...

), although the propagation variable

t

is continuous.