Traveling Waves of Discrete Nonlinear Schrodinger Equations with Nonlocal Interactions

TL;DR

This paper investigates the existence and bifurcation of quasi-periodic traveling waves in discrete nonlinear Schrödinger equations with nonlocal interactions, using variational methods and analyzing specific interaction types.

Contribution

It provides new existence and bifurcation results for traveling waves in nonlocal discrete nonlinear Schrödinger equations, expanding understanding of their dynamics.

Findings

Existence of quasi-periodic traveling waves established.

Bifurcation analysis for nonlocal interactions conducted.

Concrete nonlocal interaction cases studied.

Abstract

Existence and bifurcation results are derived for quasi periodic traveling waves of discrete nonlinear Schrodinger equations with nonlocal interactions and with polynomial type potentials. Variational tools are used. Several concrete nonlocal interactions are studied as well.