Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
type: Item
instance of: scholarly article
title: Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
zbMATH Open document ID: 1047.37053
DOI: 10.1016/S0167-2789(02)00655-3
author: Thomas J. Bridges
author: Gianne Derks
author: Georg A. Gottwald
published in: Physica D
publication date: 2002-11-03T00:00:00Z
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37M99
Mathematics Subject Classification ID: 65M99
zbMATH DE Number: 1822566
zbMATH Keywords: complex analytic function
zbMATH Keywords: eigenvalues
zbMATH Keywords: fast robust shooting algorithm
MaRDI profile type: Publication
cites work: On the evolution of packets of water waves
cites work: Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow
cites work: Q3485307
cites work: Q4850474
cites work: Numerical exterior algebra and the compound matrix method
cites work: Stabilization of DAEs and invariant manifolds
cites work: Oscillatory instabilities of gap solitons: A numerical study
cites work: Alternate Evans functions and viscous shock waves
cites work: Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals
cites work: The Orr–Sommerfeld equation on a manifold
cites work: Hodge duality and the Evans function
cites work: The symplectic Evans matrix, and the instability of solitary waves and fronts
cites work: Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations
cites work: Computing Lyapunov exponents on a Stiefel manifold
cites work: Numerical testing of the stability of viscous shock waves
cites work: Q4434359
cites work: Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
cites work: A global investigation of solitary-wave solutions to a two-parameter model for water waves
cites work: Q5848416
cites work: Stability of Runge-Kutta Methods for Trajectory Problems
cites work: Hamiltonian long-wave approximations to the water-wave problem
cites work: Stationary solitons of the fifth order KdV-type. Equations and their stabilization.
cites work: On the nonlinear stability of solitary wave solutions of the fifth-order Korteweg-de Vries equation
cites work: Q3896709
cites work: Q4079375
cites work: Local stability theory of the nerve impulse
cites work: Q4257020
cites work: Numerical Methods for Bifurcations of Dynamical Equilibria
cites work: Solitary-wave solutions to a class of fifth-order model equations
cites work: Three-dimensional solitary waves in the presence of additional surface effects
cites work: Q4264383
cites work: Stability of solitary waves in dispersive media described by a fifth- order evolution equation
cites work: Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
cites work: Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
cites work: Q3312749
cites work: Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
cites work: A stability analysis of fifth-order water wave models
cites work: Stability of viscous shock waves for problems with nonsymmetric viscosity matrices
cites work: Q4106341
cites work: Q4039873
cites work: An initial value method for eigenvalue problems using compound matrices
cites work: Oscillatory instability of traveling waves for a KdV-Burgers equation
cites work: Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
cites work: A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain
cites work: Q3874497
full work available at URL: s0167-2789(02)00655-3
OpenAlex ID: W1977163495
description: scientific article; zbMATH DE number 1822566