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

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  • Meihua Huang
  • Zhan Zhou

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.

Suggested Citation

  • Meihua Huang & Zhan Zhou, 2013. "Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:842594
    DOI: 10.1155/2013/842594
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    References listed on IDEAS

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    1. Trombettoni, A. & Nistazakis, H.E. & Rapti, Z. & Frantzeskakis, D.J. & Kevrekidis, P.G., 2009. "Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 814-824.
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