Transversal spectral instability of periodic traveling waves for the generalized Zakharov-Kuznetsov equation

DOI10.5802/CRMATH.574zbMATH Open1544.35037MaRDI QIDQ6579109

Fábio Natali

Publication date: 25 July 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

two space dimensionspositive one-dimensional periodic waves

Mathematics Subject Classification ID

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Cites Work

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• On the instability of periodic waves for dispersive equations.
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• Stability theory for solitary-wave solutions of scalar field equations
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• Transverse nonlinear instability for two-dimensional dispersive models
• Spectral and dynamical stability of nonlinear waves
• On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations
• A simple criterion of transverse linear instability for solitary waves
• Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's
• The Transverse Instability of Periodic Waves in Zakharov-Kuznetsov Type Equations
• Eigenvalues, and instabilities of solitary waves
• Monotonicity of the period map for the equation $-\varphi+\varphi-\varphi^{k}=0$

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