Solitons on a vortex filament with axial flow

DOI10.1016/0960-0779(92)90033-JzbMath0764.35085MaRDI QIDQ1208380

Kimiaki Konno, Yoshi-Hiko Ichikawa

Publication date: 16 May 1993

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

zbMATH Keywords

inverse scattering methodsoliton collision processtwo soliton solution

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (5)

On a vortex filament with the axial velocity ⋮ Vortex soliton with axial flow ⋮ A new integrable equation with no smooth solitons ⋮ Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications ⋮ Strong interference of sound pressure generated by vortex soliton with axial flow.

Cites Work

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• Soliton on thin vortex filament
• New Integrable Nonlinear Evolution Equations
• Derivation and implicit solution of the Harry Dym equation and its connections with the Korteweg-de Vries equation
• Dynamics of a vortex filament in a shear flow
• An exact solution for a derivative nonlinear Schrödinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation
• Progressive Deformation of a Curved Vortex Filament by its Own Induction
• A soliton on a vortex filament
• Three-dimensional distortions of a vortex filament with axial velocity

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