A numerical scheme for periodic travelling-wave simulations in some nonlinear dispersive wave models

Authors:
J. Álvarez;A. Durán
Affiliations:
Departamento de Matemática Aplicada, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, Paseo del Cauce S/N, E-47011 Valladolid, Spain;Departamento de Matemática Aplicada, E.T.S.I. de Telecomunicación, Universidad de Valladolid, Campus Miguel Delibes, Camino del cementerio S/N E-47011 Valladolid, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

A numerical method for simulating periodic travelling-wave solutions of some nonlinear dispersive wave equations is proposed. The construction of the scheme is based on an efficient computation of the elements that characterize these solutions: the initial profile and the velocity of the wave.