Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations

In this paper, a geometrical perturbation method is employed to prove the existence of heteroclinic orbits for the kinetic system of near-integrable coupled nonlinear Schrödinger (CNLS) equations. Furthermore, we obtain the persistence of homoclinic orbits for the perturbed CNLS equations with even and periodic boundary conditions.