An engineer's guide to soliton phenomena: Application of the finite element method
type: Item
instance of: scholarly article
title: An engineer's guide to soliton phenomena: Application of the finite element method
zbMATH Open document ID: 0624.76020
DOI: 10.1016/0045-7825(87)90117-4
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4014261
zbMATH Keywords: solitons
zbMATH Keywords: numerical solution
zbMATH Keywords: dispersive nonlinear partial differential equations
zbMATH Keywords: soliton-type solutions
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Sine-Gordon equation
zbMATH Keywords: semidiscrete Galerkin method
zbMATH Keywords: finite element discretization
zbMATH Keywords: step-by-step time integration
zbMATH Keywords: Petrov-Galerkin procedure
zbMATH Keywords: numerical stability
author: John Argyris
author: Maria Haase
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90117-4
OpenAlex ID: W2036101942
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
cites work: Q3686278
cites work: Q3316508
cites work: Product Approximation for Non-linear Problems in the Finite Element Method
cites work: On the use of the product approximation technique in nonlinear galerkin methods
cites work: Galerkin methods applied to some model equations for non-linear dispersive waves
cites work: Petrov-Galerkin methods for nonlinear dispersive waves
cites work: Q3326769
cites work: The Galerkin Method Based on Hermite Cubics
cites work: Solitons and the Korteweg-de Vries equation: Integrable systems in 1834--1995
cites work: On the stability of the nonlinear Schrödinger equation
cites work: A numerical study of the nonlinear Schrödinger equation
cites work: A method for the integration in time of certain partial differential equations
cites work: Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation
cites work: Numerical experience with the nonlinear Schrödinger equation
cites work: A simple adaptive technique for nonlinear wave problems
cites work: Simple time and space adaptation in one‐dimensional evolutionary partial differential equations
cites work: Q5819359
cites work: Q3219184
cites work: Q5674335
cites work: Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
cites work: Q3961178
cites work: Method for Solving the Korteweg-deVries Equation
cites work: The Korteweg–deVries Equation: A Survey of Results
cites work: Korteweg‐devries equation and generalizations. VI. methods for exact solution
cites work: Q3889412
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: Q4151274
description: scientific article; zbMATH DE number 4014261