Geodesic
Linear stability of periodic waves of the coupled nonlinear wave equations
Mathematics and Education in Mathematics, Tome 50 (2021), pp. 150-155.

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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 
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     author = {Syuleymanov, Turhan},
     title = {Linear stability of periodic waves of the coupled nonlinear wave equations},
     journal = {Mathematics and Education in Mathematics},
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     volume = {50},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2021_50_a15/}
}
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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/