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Orbital stability of solitary waves for a shallow water equation. (English) Zbl 0984.35139

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.

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
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