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Title: Numerical generation of periodic traveling wave solutions of some nonlinear dispersive wave systems.
Authors: Álvarez López, Jorge
Durán Martín, Ángel
Issue Date: 2017
Publisher: Elsevier
Citation: Journal of Computational and Applied Mathematics, 2017, vol. 316, p. 29-39
Abstract: In this paper a numerical procedure to generate approximations to periodic traveling wave profiles of some nonlinear dispersive wave systems is introduced. The method is based on a suitable modification of a fixed point algorithm of Petviashvili type and solves several drawbacks of some previous algorithms presented in the literature. By way of illustration, the method is applied to generate numerically periodic traveling waves of two problems of interest: the fractional KdV type equations and the extended Boussinesq system.
Peer Review: SI
DOI: 10.1016/
Sponsor: Ministerio de Economía, Industria y Competitividad /FEDER (MTM2015-66330-P)
Ministerio de Economía, Industria y Competitividad (MTM2014-54710-P)
Publisher Version:
Rights Owner: Elsevier B.V.
Language: eng
Rights: info:eu-repo/semantics/restrictedAccess
Appears in Collections:DEP51 - Artículos de revista

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