Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity

DOI10.1016/j.physleta.2019.126060zbMath1448.35072OpenAlexW2980484369MaRDI QIDQ2212884

John D. Carter, Henrik Kalisch, Malek Abid, Kharif, Christian

Publication date: 27 November 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2019.126060

zbMATH Keywords

vorticitymodulational instabilityWhitham equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (1)

The cubic vortical Whitham equation

Cites Work

• Traveling waves for the Whitham equation.
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• Modulational instability in the Whitham equation with surface tension and vorticity
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• The Whitham equation as a model for surface water waves
• Stability of Small Periodic Waves in Fractional KdV-Type Equations
• Instabilities of finite-amplitude gravity waves on water of finite depth
• On Whitham and Related Equations
• Modulational Instability in the Whitham Equation for Water Waves
• Two-dimensional stability of finite-amplitude gravity waves on water of finite depth with constant vorticity
• Global Bifurcation for the Whitham Equation
• Three-dimensional instabilities of periodic gravity waves in shallow water
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
• Stability of traveling wave solutions to the Whitham equation
• Unnamed Item

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