RT info:eu-repo/semantics/article
T1 Mathematical properties of Klein–Gordon–Boussinesq systems
A1 Durán Martín, Ángel
A1 Esfahani, A.
A1 Muslu, Gulcin M.
K1 Sistema KGB
K1 Onda solitaria
K1 Bien planteado
AB The Klein–Gordon–Boussinesq (KGB) system is proposed in the literature as a model problem to study the validity of approximations in the long wave limit provided by simpler equations such as KdV, nonlinear Schrödinger or Whitham equations. In this paper, the KGB system is analyzed as a mathematical model in three specific points. The first one concerns well-posedness of the initial-value problem with the study of local existence and uniqueness of solution and the conditions under which the local solution is global or blows up at finite time. The second point is focused on traveling wave solutions of the KGB system. The existence of different types of solitary waves is derived from two classical approaches, while from their numerical generation several properties of the solitary wave profiles are studied. In addition, the validity of the KdV approximation is analyzed by computational means and from the corresponding KdV soliton solutions.
PB Springer Nature
SN 2238-3603
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/79105
UL https://uvadoc.uva.es/handle/10324/79105
LA eng
NO Computational and Applied Mathematics, 2025, vol. 44.
NO Producción Científica
DS UVaDOC
RD 29-oct-2025