Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves
type: Item
instance of: scholarly article
title: Numerical solution of KdV-KdV systems of Boussinesq equations. I: The numerical scheme and generalized solitary waves
zbMATH Open document ID: 1158.35410
author: Jerry L. Bona
author: V. A. Dougalis
author: Dimitrios Mitsotakis
published in: Mathematics and Computers in Simulation
publication date: 2007-03-15T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76B25
zbMATH DE Number: 5134263
zbMATH Keywords: Boussinesq systems
zbMATH Keywords: KdV-KdV system
zbMATH Keywords: generalized solitary waves
zbMATH Keywords: Galerkin-finite element method
MaRDI profile type: Publication
full work available at URL: j.matcom.2006.10.004
OpenAlex ID: W2081451815
cites work: Numerical solution of Boussinesq systems of the Bona-Smith family
cites work: A Boussinesq system for two-way propagation of nonlinear dispersive waves
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
cites work: Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
cites work: Long wave approximations for water waves
cites work: Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
cites work: Exact traveling-wave solutions to bidirectional wave equations
cites work: A class of model equations for bi-directional propagation of capillary-gravity waves
cites work: Q4440482
cites work: Solitary waves of a coupled Korteweg-de Vries system
cites work: Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
cites work: Numerical study of generalized interfacial solitary waves
cites work: Non–existence of truly solitary waves in water with small surface tension
cites work: Weakly nonlocal gravity–capillary solitary waves
DOI: 10.1016/J.MATCOM.2006.10.004
description: scientific article; zbMATH DE number 5134263