Journal article
Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation
Abstract
Discrete solitons of the discrete nonlinear Schrödinger (dNLS) equation are compactly supported in the anti-continuum limit of the zero coupling between lattice sites. Eigenvalues of the linearization of the dNLS equation at the discrete soliton determine its spectral stability. Small eigenvalues bifurcating from the zero eigenvalue near the anti-continuum limit were characterized earlier for this model. Here we analyze the resolvent operator …
Authors
Pelinovsky D; Sakovich A
Journal
Physica D Nonlinear Phenomena, Vol. 240, No. 3, pp. 265–281
Publisher
Elsevier
Publication Date
February 2011
DOI
10.1016/j.physd.2010.09.002
ISSN
0167-2789