Spectral stability of periodic waves for the Drinfeld-Sokolov-Wilson equation

Küçük Resim Yok

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Academic Press Inc Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The nonlinear dispersive system is considered in the periodic context. The main goal of the paper is to study spectral stability of periodic traveling waves. We show that under certain conditions of the parameters the cnoidal waves are spectrally stable/unstable and dnoidal waves are spectrally stable for all values of the parameters. The proof relies on an instability index count theory for Hamiltonian system developed in [19]. 2023 Elsevier Inc. All rights reserved.

Açıklama

Anahtar Kelimeler

Periodic Traveling Waves, Spectral Stability, Nonlinear Wave Equation, Nonlinear Dispersive Media, Amplitude Long Waves, Boussinesq Equations, Traveling-Waves, Systems, Eigenvalues

Kaynak

Journal Of Mathematical Analysis And Applications

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

533

Sayı

1

Künye