  Peridynamics describes the nonlinear interactions in spatially extended
Hamiltonian systems by nonlocal integro-differential equations, which can be
regarded as the natural generalization of lattice models. We prove the
existence of solitary traveling waves for super-quadratic potentials by
maximizing the potential energy subject to both a norm and a shape constraint.
We also discuss the numerical computation of waves and study several asymptotic
regimes.
