A Camassa-Holm equation interacted with the Degasperis-Procesi equation

DOI10.1007/s10582-006-0435-5zbMath1110.35316OpenAlexW2391939488MaRDI QIDQ871954

Ziemowit Popowicz

Publication date: 27 March 2007

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10582-006-0435-5

zbMATH Keywords

solitonsbi-Hamiltonian structurepeakons

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) Soliton equations (35Q51)

Related Items (max. 100)

The local well-posedness in Besov spaces and non-uniform dependence on initial data for the interacting system of Camassa-Holm and Degasperis-Procesi equations ⋮ An interacting system of the Camassa-Holm and Degasperis-Procesi equations

Cites Work

• Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
• R-matrices and higher Poisson brackets for integrable systems
• On a Camassa–Holm type equation with two dependent variables
• On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
• Prolongation algebras and Hamiltonian operators for peakon equations

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