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dc.contributor.author | Saridaki, Leetha | |
dc.contributor.author | Durán Martín, Ángel | |
dc.contributor.author | Dougalis, Vassilios A. | |
dc.contributor.author | saridaki | |
dc.date.accessioned | 2023-10-27T08:02:34Z | |
dc.date.available | 2023-10-27T08:02:34Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Physica D: Nonlinear Phenomena, 2021, 428, pp. 133051 | es |
dc.identifier.issn | 0167-2789 | es |
dc.identifier.uri | https://uvadoc.uva.es/handle/10324/62418 | |
dc.description | Producción Científica | es |
dc.description.abstract | In this paper we consider a three-parameter system of Boussinesq/Boussinesq type, modeling the propagation of internal waves. Some theoretical and numerical properties of the systems were previously analyzed by the authors. As a second part of the study, the present paper is concerned with the analysis of existence and the numerical simulation of some issues of the dynamics of solitary-wave solutions. Standard theories are used to derive several results of existence of classical and generalized solitary waves, depending on the parameters of the models. A numerical procedure based on a Fourier collocation approximation for the ode system of the solitary wave profiles with periodic boundary conditions, and on the iterative solution of the resulting fixed-point equations with the Petviashvili scheme combined with vector extrapolation techniques, is used to generate numerically approximations of solitary waves. These are an essential part of a computational study of the dynamics of the solitary waves, both classical and generalized. Using a full discretization based on spectral approximation in space of the corresponding periodic initial-value problem for the systems, and a fourth-order Runge–Kutta method of composition type as time integrator, we explore the evolution of small and large perturbations of the computed solitary-wave profiles, and we study computationally the collisions of solitary waves as well as the resolution of initial data into trains of solitary waves. | es |
dc.format.mimetype | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | North-Holland | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject.classification | Internal waves | es |
dc.subject.classification | Boussinesq/Boussinesq systems | es |
dc.subject.classification | Solitary waves | es |
dc.subject.classification | Spectral methods | es |
dc.title | On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves | es |
dc.type | info:eu-repo/semantics/article | es |
dc.identifier.doi | 10.1016/j.physd.2021.133051 | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.physd.2021.133051 | es |
dc.identifier.publicationfirstpage | 133051 | es |
dc.identifier.publicationtitle | Physica D: Nonlinear Phenomena | es |
dc.identifier.publicationvolume | 428 | es |
dc.peerreviewed | SI | es |
dc.description.project | VA193P20 Junta de Castilla y León | es |
dc.description.project | PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.type.hasVersion | info:eu-repo/semantics/acceptedVersion | es |
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