Orbital stability of peakons for a generalized CH equation

DOI10.1016/j.amc.2014.01.062zbMath1410.35156OpenAlexW2141813909MaRDI QIDQ1646091

Shan Zheng, Zheng-Yong Ouyang

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.062

zbMATH Keywords

orbital stabilitypeakonsgeneralized Camassa-Holm equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Cites Work

• Analyticity of periodic traveling free surface water waves with vorticity
• Orbital stability of peakons with nonvanishing boundary for CH and CH-\(\gamma \) equations
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The trajectories of particles in Stokes waves
• Global conservative solutions of the Camassa-Holm equation
• Stokes waves
• Global weak solutions for a shallow water equation
• Peakons of the Camassa-Holm equation
• Stability of multipeakons
• General expressions of peaked traveling wave solutions of CH-\(\gamma\) and CH equations
• Variable depth KdV equations and generalizations to more nonlinear regimes
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Exponential decay of H ¹ -localized solutions and stability of the train of N solitary waves for the Camassa–Holm equation
• Particle trajectories in solitary water waves
• Model equations for long waves in nonlinear dispersive systems

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