Exact solutions of the Hirota equation and vortex filaments motion

PHYSICA D-NONLINEAR PHENOMENA

卷:313

Article

Demontis, F.¹  Ortenzi, G.^2,3  van der Mee, C.¹ 

[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09121 Cagliari, Italy

[2] Univ Bergamo, Dip Ingn Gest Informaz & Prod, I-24044 Dalmine, BG, Italy

[3] Univ Milano Bicocca, Dip Matemat Pura & Applicaz, I-20125 Milan, Italy

关键词: Soliton solutions;    Vortex filaments;    Inverse Scattering Transform;   

DOI  :  10.1016/j.physd.2015.09.009

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free