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, vol.82, 2025 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 82
Publication Date: 2025
Doi Number: 10.1016/j.nonrwa.2024.104250
Journal Name: Nonlinear Analysis: Real World Applications
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Keywords: Modified KdV systems, Periodic traveling waves, Spectral stability
Trakya University Affiliated: Yes

Abstract

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.