Exact solutions of the Hirota equation and vortex filaments motion

被引：28
|
作者：
Demontis, F. [1 ]
Ortenzi, G. [2 ,3 ]
van der Mee, C. [1 ]
机构：
[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
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2015年 / 313卷
关键词：
Soliton solutions; Vortex filaments; Inverse Scattering Transform; SOLITON; SYSTEMS;
D O I：
10.1016/j.physd.2015.09.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：61 / 80
页数：20
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