Coupled lattice chains#

One-dimensional lattices: the exactly-solvable harmonic chain, the Fermi-Pasta-Ulam-Tsingou beta-lattice and its famous non-ergodic recurrence, and the discrete sine-Gordon chain’s topological solitons.

The harmonic chain: normal modes, exactly

The harmonic chain: normal modes, exactly

The Fermi-Pasta-Ulam-Tsingou recurrence

The Fermi-Pasta-Ulam-Tsingou recurrence

Sine-Gordon solitons: kink propagation and a kink-antikink breather

Sine-Gordon solitons: kink propagation and a kink-antikink breather