Computation of Homoclinic Solutions to Periodic Orbits in a Reduced Water-wave Problem

Abstract

This paper concerns homoclinic solutions to periodic orbits in a fourth-order Hamiltonian system arising from a reduction of the classical water-wave problem in the presence of surface tension. These solutions correspond to travelling solitary waves which converge to non-decaying ripples at innnity. An analytical result of Amick and Toland, showing the… (More)

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