Existence of multiple breathers for discrete nonlinear Schrodinger equations

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.

Bibliographic Details
Main Authors: Tao Zhou, Xia Liu, Haiping Shi, Zongliang Wen
Format: Article
Language:English
Published: Texas State University 2019-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/27/abstr.html