Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms

Guanwei Chen and Shiwang Ma

Applied Mathematics and Computation, 2014, vol. 232, issue C, 787-798

Abstract: In this paper, we study the following periodic discrete nonlinear Schrödinger equation-Δun+(∊n-ω)un=γχngn(un),n∈Z,where the nonlinearity gn is asymptotically or super linear. The sufficient conditions on the existence and on the nonexistence of nontrivial solitons was established by using critical point theory.

Keywords: Discrete nonlinear Schrödinger equations; Homoclinic solutions; Superlinear; Asymptotically linear; Critical point theory (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:787-798

DOI: 10.1016/j.amc.2014.01.154

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