Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:C3L-B
Session:
Number:C3L-B-2
Existence of Discrete Breathers in Discrete Nonlinear Schrodinger Equations with Non-Weak Couplings
Kazuyuki Yoshimura,
pp.902-905
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Discrete breathers are spatially localized periodic solutions in nonlinear discrete dynamical systems. The anti-integrable limit is defined for the discrete nonlinear Schrodinger equation as the limit of vanishing couplings. There are infinitely many trivial discrete breathers in this limit, each of which consists of a finite number of excited sites. The existence of discrete breathers continued from them has been proved for sufficiently weak couplings. In this paper, we focus on the case of non-weak couplings and present existence theorems of discrete breathers.