Evolution of the Scattering Coefficients of the Camassa–Holm Equation, for General Initial Data

DOI10.1111/j.1467-9590.2006.00350.xzbMath1145.37330OpenAlexW2022485617MaRDI QIDQ3528894

D. J. Kaup

Publication date: 17 October 2008

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2006.00350.x

Mathematics Subject Classification ID

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) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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The inverse spectral problem for indefinite strings ⋮ Algebraic Discretization of the Camassa-Holm and Hunter-Saxton Equations ⋮ Geometric finite difference schemes for the generalized hyperelastic-rod wave equation ⋮ New exact solutions for two nonlinear equations ⋮ THE EXPLICIT NONLINEAR WAVE SOLUTIONS AND THEIR BIFURCATIONS OF THE GENERALIZED CAMASSA–HOLM EQUATION ⋮ Poisson structure and action-angle variables for the Camassa-Holm equation ⋮ The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data ⋮ EXPLICIT PERIODIC WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR GENERALIZED CAMASSA–HOLM EQUATION ⋮ COEXISTENCE OF MULTIFARIOUS EXPLICIT NONLINEAR WAVE SOLUTIONS FOR MODIFIED FORMS OF CAMASSA–HOLM AND DEGAPERIS–PROCESI EQUATIONS ⋮ Equations of the Camassa-Holm hierarchy

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