Modulated waves on a vortex filament beneath a fluid surface

✍ Scribed by W. Craig; B.J. Hunton

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 261 KB
• Volume: 8
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(95)00021-h

✦ Synopsis

This paper describes wave modulation on a nearly linear vortex filament which evolves through interactions with itself and with a fluid surface. We show that some of the features of the motion of a single vortex filament in an infinite fluid are preserved. As well, the presence of the fluid surface can cause instabilities, and changes the character of the dispersion in the modulation equations for certain wave numbers.

Keywords--Vortex

filament/free surface interactions, Modulational analysis, Cubic nonlinear SchrSdinger equations.