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.File | Dimensione | Formato | |
---|---|---|---|
PhysicaD_Demontis.pdf Solo gestori archivio
Tipologia: versione editoriale
Dimensione 929.91 kB
Formato Adobe PDF
|
929.91 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
DOI_Hirota13.pdf accesso aperto
Tipologia: versione pre-print
Dimensione 1.38 MB
Formato Adobe PDF
|
1.38 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.