Optical Rogue Waves (Rogons)

wave number related to α(t)

1.8

frequency related to:

β(t)

1.2

δ(t)

1.5

γ(t)

3

one-rogon solution

two-rogon solution

This Demonstration plots the dynamical behavior of one-rogon (rogue wave) and two-rogon solutions are plotted for the inhomogeneous nonlinear Schrödinger (NLS) equation with variable coefficients

i

ψ

t

+

1

2

β(t)

ψ

xx

+v(x,t)ψ+g(t)ψ

2

|

ψ=iγ(t)ψ

. Some particular functions of time are chosen to exhibit the solutions.