The purpose of this paper is to construct small-amplitude breather
solutions for a nonlinear Klein-Gordon equation posed on a periodic
metric graph via spatial dynamics and center manifold reduction. The
major difficulty occurs from the irregularity of the solutions. The
persistence of the approximately constructed pulse solutions under
higher order perturbations is obtained by symmetry and reversibility
arguments. (C) 2019 Elsevier Inc. All rights reserved.
%0 Journal Article
%1 WOS:000505986500001
%A Maier, Daniela
%C 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
%D 2020
%I ACADEMIC PRESS INC ELSEVIER SCIENCE
%J JOURNAL OF DIFFERENTIAL EQUATIONS
%K imported from:brittalenz
%N 6
%P 2491-2509
%R 10.1016/j.jde.2019.09.035
%T Construction of breather solutions for nonlinear Klein-Gordon equations
on periodic metric graphs
%V 268
%X The purpose of this paper is to construct small-amplitude breather
solutions for a nonlinear Klein-Gordon equation posed on a periodic
metric graph via spatial dynamics and center manifold reduction. The
major difficulty occurs from the irregularity of the solutions. The
persistence of the approximately constructed pulse solutions under
higher order perturbations is obtained by symmetry and reversibility
arguments. (C) 2019 Elsevier Inc. All rights reserved.
@article{WOS:000505986500001,
abstract = {The purpose of this paper is to construct small-amplitude breather
solutions for a nonlinear Klein-Gordon equation posed on a periodic
metric graph via spatial dynamics and center manifold reduction. The
major difficulty occurs from the irregularity of the solutions. The
persistence of the approximately constructed pulse solutions under
higher order perturbations is obtained by symmetry and reversibility
arguments. (C) 2019 Elsevier Inc. All rights reserved.},
added-at = {2021-09-13T10:24:35.000+0200},
address = {525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA},
affiliation = {Maier, D (Corresponding Author), Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.
Maier, Daniela, Univ Stuttgart, Inst Anal Dynam \& Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.},
author = {Maier, Daniela},
author-email = {daniela.maier@mathematik.uni-stuttgart.de},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2ee9e53652347dfb9f801cc9b82362abe/mathematik},
da = {2021-08-10},
doc-delivery-number = {KA7OB},
doi = {10.1016/j.jde.2019.09.035},
eissn = {1090-2732},
interhash = {e709a2c54d455d9d702f7c48ce015a5e},
intrahash = {ee9e53652347dfb9f801cc9b82362abe},
issn = {0022-0396},
journal = {JOURNAL OF DIFFERENTIAL EQUATIONS},
journal-iso = {J. Differ. Equ.},
keywords = {imported from:brittalenz},
language = {English},
month = {MAR 5},
number = 6,
number-of-cited-references = {20},
oa = {Green Submitted},
pages = {2491-2509},
publisher = {ACADEMIC PRESS INC ELSEVIER SCIENCE},
research-areas = {Mathematics},
times-cited = {0},
timestamp = {2021-09-13T08:24:35.000+0200},
title = {Construction of breather solutions for nonlinear Klein-Gordon equations
on periodic metric graphs},
type = {Article},
unique-id = {WOS:000505986500001},
usage-count-last-180-days = {0},
usage-count-since-2013 = {6},
volume = 268,
web-of-science-categories = {Mathematics},
year = 2020
}
