An elementary geometric characterization of the integrable motions of a curve
type: Item
instance of: scholarly article
title: An elementary geometric characterization of the integrable motions of a curve
zbMATH Open document ID: 0941.37532
DOI: 10.1016/0375-9601(94)90170-8
published in: Physics Letters. A
publication date: 2000-02-06T00:00:00Z
full work available at URL: http://cds.cern.ch/record/263322
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1399609
author: Adam Doliwa
author: P. M. Santini
MaRDI profile type: Publication
OpenAlex ID: W1994399854
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Nonlinear integrable equations. Recursion operators, group-theoretical and Hamiltonian structures of soliton equations
cites work: NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
cites work: The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
cites work: A soliton on a vortex filament
cites work: Solitons on moving space curves
cites work: Motion of strings, embedding problem and soliton equations
cites work: On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
cites work: Unified approach to strings and vortices with soliton solutions
cites work: Geometric phase in the classical continuous antiferromagnetic Heisenberg spin chain
cites work: Foliations on a surface of constant curvature and the modified Korteweg- de Vries equations
cites work: General solutions of nonlinear equations in the geometric theory of the relativistic string
cites work: Poisson geometry of the filament equation
cites work: The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
cites work: Integrability and the motion of curves
cites work: A higher dimension generalization of the Sine-Gordon equation and its soliton theory
cites work: On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations
cites work: On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain
cites work: Q5546515
cites work: Q4091004
cites work: A simple model of the integrable Hamiltonian equation
cites work: Lie groups and KdV equations
Wikidata QID: Q104434222
description: scientific article; zbMATH DE number 1399609