Pulses, fronts and oscillations of an elastic rod
type: Item
instance of: scholarly article
title: Pulses, fronts and oscillations of an elastic rod
zbMATH Open document ID: 0942.74042
DOI: 10.1016/S0167-2789(99)00047-0
author: Alain Goriely
author: Joceline Lega
published in: Physica D
publication date: 2000-08-21T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 74H55
zbMATH DE Number: 1370257
zbMATH Keywords: Hamiltonian equations
zbMATH Keywords: amplitude equation
zbMATH Keywords: three-dimensional dynamics of twisted rod
zbMATH Keywords: two coupled nonlinear Klein-Gordon equations
zbMATH Keywords: bifurcation threshold
zbMATH Keywords: traveling wave solutions
zbMATH Keywords: two coupled nonlinear Schrödinger equations
zbMATH Keywords: periodic solutions
zbMATH Keywords: writhing instability
MaRDI profile type: Publication
cites work: Q4905433
cites work: Nonlinear problems of elasticity
cites work: Kirchhoff's theory of rods
cites work: On the dynamics of rods in the theory of Kirchhoff and Clebsch
cites work: Nonlinear dynamics of filaments. I: Dynamical instabilities
cites work: Nonlinear dynamics of filaments. II: Nonlinear analysis
cites work: Finite Amplitude Instabilities of Partial Difference Equations
cites work: Amplitude equations at the critical points of unstable dispersive physical systems
cites work: The modulational instability of the nonlinear Klein-Gordon equation
cites work: The Propagation of Nonlinear Wave Envelopes
cites work: Classification of the solitary waves in coupled nonlinear Schrödinger equations
cites work: Hamiltonian dynamics of solitons in optical fibers
cites work: Modulational instability in a defocussing coupled nonlinear Schrödinger system
cites work: Structural stability of non-ground state traveling waves of coupled nonlinear Schrödinger equations
cites work: Radiation Boundary Conditions for Dispersive Waves
cites work: Compact finite difference schemes with spectral-like resolution
cites work: Nonlinear dynamics of filaments. IV Spontaneous looping of twisted elastic rods
description: scientific article; zbMATH DE number 1370257