Toda Lattice Solitons
Integrable nonlinear lattice dynamics — exact soliton solutions
Mode
Displacement
Momentum
Energy
N particles:
64
Soliton speed:
2.0
2nd soliton amplitude:
1.0
Nonlinearity α:
1.0
⏸ Pause
Reset
Toda potential:
V(r) = e^(−αr) + αr − 1
Equations of motion:
q̈ₙ = e^(−α(qₙ−qₙ₋₁)) − e^(−α(qₙ₊₁−qₙ))
Exact soliton:
propagating compression wave that passes through without dispersion — sign of integrability (infinite conserved quantities via Lax pair).