RESEARCH ANNOUNCEMENTS Persistent Homoclinic Orbits for a Perturbed Coupled Nonlinear Schr(?)dinger System

RESEARCH ANNOUNCEMENTS Persistent Homoclinic Orbits for a Perturbed Coupled Nonlinear Schrodinger System

We consider the following perturbed coupled nonlinear Schrodinger system (CNLS)Where qj(j=1,2) is 2π-periodic and even about x,ε denotss a small perturbation paramater0 <ε<<1,αj,βj,γj (j=1, 2), and w are positive real constants, D is a bounded dissipatireoperator and is assumed to take the