Linear stability of periodic standing waves of the KGZ system


HAKKAEV S. A., Hunutlu F.

Turkish Journal of Mathematics, vol.45, no.6, pp.2594-2602, 2021 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 45 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2101-132
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2594-2602
  • Keywords: Klein–Gordon–Zakharov system, Linear stability, Periodic waves, Standing waves
  • Trakya University Affiliated: No

Abstract

In this work we consider the periodic standing wave solutions for a Klein–Gordon–Zakharov system. We find the conditions on the parameters, for which the periodic waves of dnoidal type are linear stable/unstable.