Manakov Breathers

Experiment 1

This is the original experiment intended to simulate two two-component vector solitons with zero relative phase, in close proximity. The initial conditions:

soliton: v = 0, A = 1.0, kappa = 0:0, w = 2:1, x0 = 500
soliton: v = 0, A = 1.0, kappa = 0:0, w = 1:2, x0 = 550

All show the first 200 iterations.

1. Total energy.
2. Energy in "vertical" component.
3. Energy in "horizontal" component.
4. Magnitude of the state.

Experiment 2

This next case repeats Charalambos' incoherent beam case. The two solitons are orthogonally polarized. The initial conditions:

soliton: v = 0, A = 1.0, kappa = 0:0, w = 1:0, x0 = 500
soliton: v = 0, A = 1.0, kappa = 0:0, w = 0:1, x0 = 550

All show the first 400 iterations. 1-3 present an oblique view. 4-7 present a head-on view.

1. Total energy.
2. Energy in "vertical" component.
3. Energy in "horizontal" component.
4. Total energy.
5. Energy in "vertical" component.
6. Energy in "horizontal" component.
7. Magnitude of the state.

Experiment 3

This next case repeats Charalambos' 4 beam case. The two solitons are asymmetrically polarized. The initial conditions:

soliton: v = 0, A = 1.0, kappa = 0:0, w = 9:5, x0 = 500
soliton: v = 0, A = 1.0, kappa = 0:0, w = 1:5, x0 = 550

All show the first 200 iterations. 1-3 present an oblique view.

1. Total energy.
2. Energy in "vertical" component.
3. Energy in "horizontal" component.