Article ID Journal Published Year Pages File Type
4628090 Applied Mathematics and Computation 2014 12 Pages PDF
Abstract

In this paper, we study the following periodic discrete nonlinear Schrödinger equation-Δun+(∊n-ω)un=γχngn(un),n∈Z,where the nonlinearity gngn 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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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