Toda Lattice

A nonlinear spring-mass chain with exponential interactions: V(r) = e−r + r − 1. The Toda lattice admits exact N-soliton solutions — localized waves that pass through each other unchanged.

2.0
1.5
40
Exact solution: un(t) = 2·sech²(κn − ωt) where ω = 2·sinh(κ)