Genesis of solitons arising from individual Flows of the Camassa‐Holm hierarchy

DOI10.1002/cpa.20109zbMath1106.35066OpenAlexW2040012975MaRDI QIDQ5469025

Enrique Loubet

Publication date: 16 May 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20109

zbMATH Keywords

blow-upsolitonslarge-time behaviorCamassa-Holm flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

An asymptotic property of the Camassa-Holm equation ⋮ Note on the evolution of compactly supported initial data under the Camassa-Holm flow

Cites Work

• Topological methods in hydrodynamics
• Breakdown of a shallow water equation
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Unnamed Item

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