On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F17%3A50013790" target="_blank" >RIV/62690094:18470/17:50013790 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1111/sapm.12156" target="_blank" >http://dx.doi.org/10.1111/sapm.12156</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1111/sapm.12156" target="_blank" >10.1111/sapm.12156</a>
Alternative languages
Result language
angličtina
Original language name
On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation
Original language description
In a series of recent works by Demirkaya et al., stability analysis for the static kink solutions to the one-dimensional continuous and discrete KleinGordon equations with a PT -symmetric perturbation has been performed. In the present paper, we study two-dimensional (2D) quadratic operator pencil with a small localized perturbation. Such an operator pencil is motivated by the stability problem for the static kink in 2D Klein-Gordon field taking into account spatially localized PT -symmetric perturbation, which is in the form of viscous friction. Viscous regions with positive and negative viscosity coefficient are balanced. For the considered operator pencil, we show that its essential spectrum has certain critical points generating eigenvalues under the perturbation. Our main results are sufficient conditions ensuring the existence or absence of such eigenvalues as well as the asymptotic expansions for these eigenvalues if they exist.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
STUDIES IN APPLIED MATHEMATICS
ISSN
0022-2526
e-ISSN
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Volume of the periodical
138
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
317-342
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85006010300