University of Cagliari
Exact solutions of the Hirota equation and vortex filaments motion
DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA
2015-01-01
Abstract
By using the Inverse Scattering Transform we construct an explicit soliton solution formula for the Hirota equation. The formula obtained allows one to get, as a particular case, the N-soliton solution, the breather solution and, most relevantly, a new class of solutions called multipole soliton solutions. We use these exact solutions to study the motion of a vortex filament in an incompressible Euler fluid with nonzero axial velocity.
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| PhysicaD_Demontis.pdf Solo gestori archivio
Type: versione editoriale
Size 929.91 kB
Format Adobe PDF
|
929.91 kB | Adobe PDF | & nbsp; View / Open Request a copy |
| DOI_Hirota13.pdf open access
Type: versione pre-print
Size 1.38 MB
Format Adobe PDF
|
1.38 MB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.