Unstable dynamics of solitary traveling waves in a lattice with long-range interactions

In this work we revisit the existence, stability and dynamics of unstable traveling solitary waves in the context of lattice dynamical systems. We consider a nonlinear lattice of an \alpha-Fermi-Pasta-Ulam type with the additional feature of all-to-all harmonic long-range interactions whose strength decays exponentially with distance. The competition between the... Show more