Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity-Reference-Cited by-同舟云学术

Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity

Published:2008-08-12 Issue:2100 Volume:464 Page:3219-3236
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Pankov Alexander¹,Rothos Vassilis²

Affiliation:

1. Department of Mathematics, Morgan State University1700 East Cold Spring Lane, Baltimore, MD 21251, USA

2. School of Mathematics, Physics and Computational Sciences, Faculty of Engineering, Aristotle University of ThessalonikiThessaloniki 54124, Greece

Abstract

We demonstrate the existence of solutions in the discrete nonlinear Schrödinger equation (DNLS) with saturable nonlinearity. We consider two types of solutions to DNLS periodic and vanishing at infinity. Calculus of variations and the Nehari manifolds are employed to establish the existence of these solutions. We present some extensions of our results, combining the Nehari manifold approach and the Mountain Pass argument.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2008.0255

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