On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

On the Spectral Stability of Kinks in 2D Klein-Gordon Model with Parity-Time-Symmetric Perturbation

Popis výsledku anglicky

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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

STUDIES IN APPLIED MATHEMATICS

ISSN

0022-2526

e-ISSN

—

Svazek periodika

138

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

317-342

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85006010300