Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/62418
Título
On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves
Año del Documento
2021
Editorial
North-Holland
Descripción
Producción Científica
Documento Fuente
Physica D: Nonlinear Phenomena, 2021, 428, pp. 133051
Zusammenfassung
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.
Palabras Clave
Internal waves
Boussinesq/Boussinesq systems
Solitary waves
Spectral methods
ISSN
0167-2789
Revisión por pares
SI
Patrocinador
VA193P20 Junta de Castilla y León
PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación
PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación
Version del Editor
Idioma
eng
Tipo de versión
info:eu-repo/semantics/acceptedVersion
Derechos
openAccess
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