Patterns and waves
NLS
1D, σ ≠ 0
1D, σ = 0
2D, σ = 1
2D, 3D, σ = 0
KG
1D kinks
Compact structures
Q-balls
1D
2D
3D
Q-vortices
Stationary
Moving
Formation and Evolution of Compact Patterns
Evolution of the moving vortices in time (absolute value), "squeezed" due to the relativistic boost. Work in progress.
Ia
δ=1/3, m=2, a=b=1, σ=0, γω=8, λ=0.87, n=2