Traveling waves of a generalized sixth-order Boussinesq equation

DOI10.1002/mma.10067MaRDI QIDQ6562656

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Publication date: 27 June 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

stabilitysolitary wavesvariational methods

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Soliton equations (35Q51) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

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• Global existence and blow-up for the generalized sixth-order Boussinesq equation
• Stability of solitary waves for the generalized higher-order Boussinesq equation
• Instability of solitary waves for generalized Boussinesq equations
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Higher-order Boussinesq equations for two-way propagation of shallow water waves
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Stability theory of solitary waves in the presence of symmetry. I
• A stability analysis of fifth-order water wave models
• Existence and stability of traveling waves of the fifth-order KdV equation
• Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
• Instability of the Solitary Waves for the Generalized Boussinesq Equations
• Stability and instability of solitary waves of Korteweg-de Vries type

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