Constantin, Adrian; Molinet, Luc Orbital stability of solitary waves for a shallow water equation. (English) Zbl 0984.35139 Physica D 157, No. 1-2, 75-89 (2001). Summary: We prove the orbital stability of the solitary waves for a shallow water equation by means of variational methods considering a minimization problem with an appropriate constraint. Cited in 96 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37K45 Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction Keywords:orbital stability; shallow water equation; variational methods; minimization problem; KdV equation; Camassa-Holm equation PDFBibTeX XMLCite \textit{A. Constantin} and \textit{L. Molinet}, Physica D 157, No. 1--2, 75--89 (2001; Zbl 0984.35139) Full Text: DOI