Linear stability of weak-compacton solutions to the nonlinear dispersive Ostrovsky equation

DOI10.1016/j.nonrwa.2009.04.002zbMath1191.35056OpenAlexW2091223534MaRDI QIDQ974594

Jiuli Yin, Lixin Tian

Publication date: 3 June 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.04.002

zbMATH Keywords

integrabilityPainlevé test

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Weak solutions to PDEs (35D30) Soliton solutions (35C08)

Related Items (2)

Stability of smooth solitary waves for the generalized Korteweg-de-Vries equation with combined dispersion ⋮ Orbital stability of floating periodic peakons for the Camassa-Holm equation

Cites Work

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• The trajectories of particles in Stokes waves
• On the existence of stationary solitary waves in a rotating fluid
• Stokes waves
• New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations
• Stability of solitary waves and weak rotation limit for the Ostrovsky equation
• Painlevé integrability of two sets of nonlinear evolution equations with nonlinear dispersions
• Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
• Stability of peakons
• An integrable shallow water equation with peaked solitons
• Compactons: Solitons with finite wavelength
• Particle trajectories in solitary water waves
• Variational iteration method for autonomous ordinary differential systems

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