On the spectral stability of periodic waves of the dispersive systems of modified KdV equations

Hakkaev, Sevdzhan; ŞAMDANLI, KADİR

doi:10.1016/j.nonrwa.2024.104250

On the spectral stability of periodic waves of the dispersive systems of modified KdV equations

Hakkaev S., ŞAMDANLI K.

Nonlinear Analysis: Real World Applications, cilt.82, 2025 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 82
Basım Tarihi: 2025
Doi Numarası: 10.1016/j.nonrwa.2024.104250
Dergi Adı: Nonlinear Analysis: Real World Applications
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Anahtar Kelimeler: Modified KdV systems, Periodic traveling waves, Spectral stability
Trakya Üniversitesi Adresli: Evet

Özet

This paper concerns the stability of periodic traveling waves of cnoidal type for the nonlinear dispersive systems. The main objective of the paper is to study their stability with respect to co-periodic perturbations.