Variational approximations in discrete nonlinear Schr\"odinger equations with next-nearest-neighbor couplings
Pattern Formation and Solitons
2012-05-11 v1
Abstract
Solitons of a discrete nonlinear Schr\"{o}dinger equation which includes the next-nearest-neighbor interactions are studied by means of a variational approximation and numerical computations. A large family of multi-humped solutions, including those with a nontrivial phase structure which are a feature particular to the next-nearest-neighbor interaction model, are accurately predicted by the variational approximation. Bifurcations linking solutions with the trivial and nontrivial phase structures are also captured remarkably well, including a prediction of critical parameter values.
Keywords
Cite
@article{arxiv.1102.0296,
title = {Variational approximations in discrete nonlinear Schr\"odinger equations with next-nearest-neighbor couplings},
author = {C. Chong and R. Carretero-González and B. A. Malomed and P. G. Kevrekidis},
journal= {arXiv preprint arXiv:1102.0296},
year = {2012}
}