Homoclinic standing waves in focusing DNLS equations
Homoclinic standing waves in focusing DNLS equations
We study focusing discrete nonlinear Schrödinger equations and present a novel variationalexistence proof for homoclinic standing waves (bright solitons). Our approach relies on theconstrained maximization of an energy functional and provides the existence of twoone-parameter families of waves with unimodal and even profile function for a wide class ofnonlinearities. Finally, …