Existence of multiple breathers for discrete nonlinear Schrodinger equations

Abstract

In this article we study discrete nonlinear Schrodinger equations without periodicity assumptions. We show the existence of multiple solutions of the form $u_n e^{-i\omega t}$ (called breathers) by using Clark's Theorem in critical point theory.

Keywords

• Breather
• discrete nonlinear Schrodinger equation
• subquadratic
• critical point