Soliton on thin vortex filament

DOI10.1016/0960-0779(91)90055-EzbMath0743.35060OpenAlexW2051143883MaRDI QIDQ1177076

Mituo Mituhashi, Kimiaki Konno, Yoshi-Hiko Ichikawa

Publication date: 25 June 1992

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90055-e

zbMATH Keywords

inverse scattering methodsoliton collision processes

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

3-D spatial chaos in the elastica and the spinning top: Kirchhoff analogy ⋮ A new integrable equation with no smooth solitons ⋮ Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation ⋮ A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation ⋮ Exact soliton solutions to a new coupled integrable short light-pulse system ⋮ Solitons on a vortex filament with axial flow ⋮ Stability of solitons on vortex filaments ⋮ Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications

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• A soliton on a vortex filament