Abstract
The long bending motion of a thin vortex filament with axial flow inside the core is investigated theoretically. The fluid outside the vortex core is assumed to be incompressible, inviscid and irrotational. A new integrable nonlinear equation, valid under the assumption of local induction, is proposed. This equation is shown to be equivalent to the Hirota equation and the N-soliton solution is given explicitly, using the Hirota's method of bilinear form.
Original language | English |
---|---|
Pages (from-to) | 3365-3370 |
Number of pages | 6 |
Journal | Journal of the Physical Society of Japan |
Volume | 57 |
Issue number | 10 |
DOIs | |
Publication status | Published - Jan 1 1988 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)