Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation
type: Item
instance of: scholarly article
title: Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation
zbMATH Open document ID: 1406.35391
author: Aslihan Demirkaya
author: Milena Stanislavova
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2018-12-28T00:00:00Z
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 34L16
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 47A45
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 6997060
zbMATH Keywords: nonlinear beam equation
zbMATH Keywords: standing waves
zbMATH Keywords: traveling waves
zbMATH Keywords: spectral stability
zbMATH Keywords: orbital stability
MaRDI profile type: Publication
full work available at URL: dcdsb.2018097
OpenAlex ID: W2789556784
cites work: Solitary waves in nonlinear beam equations: Stability, fission and fusion
cites work: Orbital stability of solitary waves for the Klein-Gordon-Zakharov equations
cites work: Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
cites work: Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation
cites work: The existence of ground states for fourth-order wave equations
cites work: Stability and instability of fourth-order solitary waves
cites work: Travelling Waves in a Suspension Bridge
cites work: Linear stability analysis for travelling waves of second order in time PDE's
cites work: Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case
DOI: 10.3934/DCDSB.2018097
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description: scientific article; zbMATH DE number 6997060