N-Solitons on a Curved Vortex Filament

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概要

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• The motion of a thin vortex filament in an incompressible inviscid fluid is in-vestigated theoretically, based on the localized induction equation. The V-solitonsolution is given explicitly, using the bilinear equations obtained by Hirota. A de-failed examination of the solution shows that two solitons with large lateral excursionsuffer backward phase-shifts during a head-on collision. The present solution alsogenerates the .N-soliton solution of the classical l-dim. continuous Heisenberg fer-romagnet equation.

• 社団法人日本物理学会の論文
• 1986-12-15

著者

• MIYAZAKI Takeshi

  National Institute for Environmental Studies

• Fukumoto Yasuhide

  Department Of Applied Physics Faculty Of Engineering Nagoya University

関連論文

• The Effect of a Semi-Infinite Plane on the Motion of a Small Particle in a Viscous Fluid
• Local Stability of Two-Dimensional Steady Irrotational Solenoidal Flows with Closed Streamlines
• Sound Attenuation in a One-Dimensional Periodic Inhomogeneous Medium
• On Integral Invariants for Vortex Motion under the Localized Induction Approximation
• N-Solitons on a Curved Vortex Filament
• N-Solitons on a Curved Vortex Filament with Axial Flow
• Slow Motion of a Small Sphere in a Viscous Fluid between Two Concentric Circular Cylinders
• Unsteady Circulatory Flow about a Circular Cylinder with Suction or Injection
• Stockeslet Perpendicular to a Plane Wall with a Circular Hole

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