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.

Demontis, F., Ortenzi, G., Van Der Mee, C. (2015). Exact solutions of the Hirota equation and vortex filaments motion. PHYSICA D-NONLINEAR PHENOMENA, 313, 61-80 [10.1016/j.physd.2015.09.009].

Exact solutions of the Hirota equation and vortex filaments motion

ORTENZI, GIOVANNI
;
2015

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.
Articolo in rivista - Articolo scientifico
Inverse Scattering Transform; Soliton solutions; Vortex filaments; Condensed Matter Physics; Statistical and Nonlinear Physics
English
2015
313
61
80
partially_open
Demontis, F., Ortenzi, G., Van Der Mee, C. (2015). Exact solutions of the Hirota equation and vortex filaments motion. PHYSICA D-NONLINEAR PHENOMENA, 313, 61-80 [10.1016/j.physd.2015.09.009].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/97928
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