On the stability of solitary waves of a generalized Ostrovsky equation

DOI10.1007/s13324-012-0044-3zbMath1254.35204OpenAlexW1986948670MaRDI QIDQ1926660

Steven Paul Levandosky

Publication date: 28 December 2012

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-012-0044-3

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Soliton solutions (35C08)

Related Items (6)

The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion ⋮ Existence, regularity and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations ⋮ Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion ⋮ Stability of constrained solitary waves for the Ostrovsky-Vakhnenko model in the coastal zone ⋮ Solitary waves of a generalized Ostrovsky equation ⋮ Instability and blow-up of solutions of the fifth-order KP equation

Cites Work

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• Stability and instability of solitary waves of Korteweg-de Vries type
• Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations
• Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations
• On the stability of solitary waves for the Ostrovsky equation

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