Geodesic
Linear stability of periodic waves of the coupled nonlinear wave equations
Mathematics and Education in Mathematics, Tome 50 (2021), pp. 150-155 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'acte

We study the linear stability of periodic traveling wave solutions for the coupled nonlinear wave equations. It is shown that for some values of the parameters of the system the solutions of cnoidal type are spectrally unstable with respect to co-periodic perturbations. В тази статия се разглежда линейната устойчивост на периодични вълни за система от нелинейни вълнови уравнения. Показано е, че за някои стойности на параметрите вълните от ”кноидален“ тип са линейно неустойчиви при копериодични пертурбации.
Keywords: periodic traveling waves, linear stability, nonlinear wave equation, 35B35, 35L05, периодични вълни, линейна устойчивост, нелинейно вълново уравнение, 35B35, 35L05 
@incollection{MEM_2021_50_a15,
     author = {Syuleymanov, Turhan},
     title = {Linear stability of periodic waves of the coupled nonlinear wave equations},
     booktitle = {},
     series = {Mathematics and Education in Mathematics},
     pages = {150--155},
     year = {2021},
     volume = {50},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2021_50_a15/}
}
TY  - JOUR
AU  - Syuleymanov, Turhan
TI  - Linear stability of periodic waves of the coupled nonlinear wave equations
JO  - Mathematics and Education in Mathematics
PY  - 2021
SP  - 150
EP  - 155
VL  - 50
UR  - http://geodesic.mathdoc.fr/item/MEM_2021_50_a15/
LA  - en
ID  - MEM_2021_50_a15
ER  - 
%0 Journal Article
%A Syuleymanov, Turhan
%T Linear stability of periodic waves of the coupled nonlinear wave equations
%J Mathematics and Education in Mathematics
%D 2021
%P 150-155
%V 50
%U http://geodesic.mathdoc.fr/item/MEM_2021_50_a15/
%G en
%F MEM_2021_50_a15
Syuleymanov, Turhan. Linear stability of periodic waves of the coupled nonlinear wave equations. Mathematics and Education in Mathematics, Tome 50 (2021), pp. 150-155. http://geodesic.mathdoc.fr/item/MEM_2021_50_a15/