N-Solitons on a Curved Vortex Filament with Axial Flow

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概要

• 論文の詳細を見る

• The long bending motion of a thin vortex filamertt with axial flow inside the core isinvestigated theoretically. The fluid outside the vortex core is assumed to be incom-pressible, inviscid and irrotational. A new integrable nonlinear equation, valid underthe assumption of local induction, is proposed. This equation is shown to beequivalent to the Hirota equation and the 7V-soliton solution is given explicitly, usingthe Hirota's method of bilinear form.

• 社団法人日本物理学会の論文
• 1988-10-15

著者

• MIYAZAKI Takeshi

  National Institute for Environmental Studies

• Fukumoto Yasuhide

  Department Of Physics Faculty Of Science University Of Tokyo:department Of Applied Physics Faculty O

• Fukumoto Yasuhide

  Department Of Applied Physics Faculty Of Engineering Nagoya University

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• 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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