The dynamical behaviour near solitary waves in Hamiltonian lattice differential equations
The dynamical behaviour near solitary waves in Hamiltonian lattice differential equations
In this article we consider Hamiltonian lattice differential equations and investigate the existence of travelling waves near solitary wave solutions.We focus on the case where the solitary wave profile induces a homoclinic solution of the associated traveling wave equation, which is a typical scenario in the Fermi-Pasta-Ulam lattice.We will then …