Abstract and Applied Analysis

Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials

Meihua Huang and Zhan Zhou

Full-text: Open access

Abstract

We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. Sufficient conditions are established to show that the standing wave solutions have both of the components not identically zero.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 842594, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449450

Digital Object Identifier
doi:10.1155/2013/842594

Mathematical Reviews number (MathSciNet)
MR3039165

Zentralblatt MATH identifier
1291.34146

Citation

Huang, Meihua; Zhou, Zhan. Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 842594, 6 pages. doi:10.1155/2013/842594. https://projecteuclid.org/euclid.aaa/1393449450


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