A note on the prolongation structure of the cubically nonlinear integrable Camassa-Holm type equation

DOI10.1016/j.physleta.2011.08.057zbMath1254.76029OpenAlexW2047470515MaRDI QIDQ1927960

S. Stalin, Murugaian Senthilvelan

Publication date: 2 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.08.057

zbMATH Keywords

integrabilityprolongation structurecubic nonlinear Camassa-Holm type equation

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Exterior differential systems (Cartan theory) (58A15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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Cites Work

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• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Multipeakons and the classical moment problem
• Geometric integrability of the Camassa-Holm equation
• Periodic and solitary-wave solutions of the Degasperis-Procesi equation
• Integrable peakon equations with cubic nonlinearity
• Exterior Differential Systems for Higher Order Partial Differential Equations
• Generalizations of the Camassa–Holm equation
• Prolongation structures of nonlinear evolution equations
• Multi-peakon solutions of the Degasperis–Procesi equation
• The associated Camassa-Holm equation and the KdV equation