Singular solutions for a class of traveling wave equations arising in hydrodynamics

DOI10.1016/j.nonrwa.2016.01.009zbMath1345.34015arXiv1502.05158OpenAlexW2140584838MaRDI QIDQ282000

Víctor Mañosa, Anna Geyer

Publication date: 11 May 2016

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

Full work available at URL: https://arxiv.org/abs/1502.05158

zbMATH Keywords

traveling wavesCamassa-Holm equationintegrable vector fieldssingular ordinary differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34)

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Cites Work

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• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Peaked wave solutions of Camassa-Holm equation
• Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
• Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude
• Traveling surface waves of moderate amplitude in shallow water
• On the Cauchy problem for a model equation for shallow water waves of moderate amplitude
• Classification of traveling waves for a class of nonlinear wave equations
• Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude
• Traveling wave solutions of the Camassa-Holm equation
• Symmetric Waves Are Traveling Waves
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Traveling Wave Solutions of the Camassa-Holm and Korteweg-de Vries Equations
• Solitary Traveling Water Waves of Moderate Amplitude