5 papers
Long-term behaviour of symmetric partitioned linear multistep methods II. Invariants error analysis for some nonlinear dispersive wave models
Begoña Cano, Angel Durán, MelquÃades RodrÃguez
In this paper, the use of partitioned linear multistep methods (PLMM) as time integrators for the numerical approximation of some partial differential equations (pdes) is studied.…
Solitary-wave solutions of the fractional nonlinear Schrödinger equation. II. A numerical study of the dynamics
Angel Durán, Nuria Reguera
The present paper is a numerical study of the dynamics of solitary wave solutions of the fractional nonlinear Schrödinger equation, whose existence was analyzed by the authors in…
Mathematical properties of Klein-Gordon-Boussinesq systems
A. Durán, A. Esfahani, G. Muslu
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 equatio…
Long-term behaviour of symmetric partitioned linear multistep methods I. Global error and conservation of invariants
B. Cano, A. Durán, M. RodrÃguez
In this paper an asymptotic expansion of the global error on the stepsize for partitioned linear multistep methods is proved. This provides a tool to analyse the behaviour of these…
On the existence of traveling wave solutions for cold plasmas
Diego Alonso-Orán, Angel Durán, Rafael Granero-Belinchón
The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional…