Publication Date
2005
Journal or Book Title
Physica D: Nonlinear Phenomena
Abstract
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit represents an arbitrary finite superposition of in-phase or anti-phase excited nodes, separated by an arbitrary sequence of empty nodes. By using stability analysis, we prove that the discrete solitons are all unstable near the anti-continuum limit, except for the solitons, which consist of alternating anti-phase excited nodes. We classify analytically and confirm numerically the number of unstable eigenvalues associated with each family of the discrete solitons.
Pages
1-19
Volume
212
Issue
1-2
Recommended Citation
Pelinovsky, D E. and Kevrekidis, PG, "Stability of discrete solitons in nonlinear Schrödinger lattices" (2005). Physica D: Nonlinear Phenomena. 1089.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1089
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVK-4HG6NWF-2&_user=1516330&_coverDate=12%2F01%2F2005&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=f831e08f25fac5ad1988080834a60095&searchtype=a