Bifurcation picture for gap solitons in nonlinear modulated systems (bibtex)
@article{KUG1999,
abstract = {We investigate the problem of nonlinear wave propagation in periodic
media. Four different classes of periodic nonlinear media are taken
into consideration: a nonlinear diatomic elastic chain, modulated
nonlinear optical media, a diatomic easy-axis ferromagnetic chain,
and an easy-plane antiferromagnet in an external magnetic field.
The main result of our work is a qualitative analysis of all kinds
of small amplitude soliton excitations with frequencies lying in
the gap and near the gap of the linear wave spectrum. We also study
the evolution of the system phase portrait and the bifurcation picture
of the soliton solutions under changes of the medium parameters.},
annote = {Copyright (C) 2010 The American Physical Society Please report any problems to prola@aps.org},
author = {Kovalev, A S and Usatenko, O V and Gorbatch, A V},
journal = {Phys. Rev. E},
month = {aug},
number = {2},
pages = {2309----},
publisher = {American Physical Society},
title = {{Bifurcation picture for gap solitons in nonlinear modulated systems}},
url = {http://link.aps.org/doi/10.1103/PhysRevE.60.2309},
volume = {60},
year = {1999}
}
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