Sine-Gordon Solitons
Kink–antikink scattering — topological field theory in 1+1 dimensions
Simulation
Kink velocity:
0.5
Antikink velocity:
0.5
Coupling λ:
1.0
Kink–Antikink Collision
Kink–Kink (same sign)
Breather Mode
Single Kink
Pause
Theory
∂²φ/∂t² − ∂²φ/∂x² + sin(φ) = 0
Kink solution:
φ(x,t) = 4 arctan(exp(γ(x−vt)))
γ = 1/√(1−v²) (Lorentz factor)
Topological charge:
Q = (φ(+∞)−φ(−∞))/2π = ±1
Energy: M = 8γ (relativistic mass)
Q_total:
--
E_kink:
--
E_total:
--
Phase:
--