Knot solitons in a modified Ginzburg-Landau model

被引：0
|
作者：
Jaeykkae, Juha [1 ]
Palmu, Joonatan [2 ]
机构：
[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England
[2] Univ Turku, Dept Phys & Astron, FI-20014 Turku, Finland
来源：
PHYSICAL REVIEW D | 2011年 / 83卷 / 10期
基金：
芬兰科学院; 英国工程与自然科学研究理事会;
关键词：
D O I：
10.1103/PhysRevD.83.105015
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We study a modified version of the Ginzburg-Landau model suggested by Ward and show that Hopfions exist in it as stable static solutions, for values of the Hopf invariant up to at least 7. We also find that their properties closely follow those of their counterparts in the Faddeev-Skyrme model. Finally, we lend support to Babaev's conjecture that longer core lengths yield more stable solitons and propose a possible mechanism for constructing Hopfions in pure Ginzburg-Landau model.
引用
收藏
页数：6
相关论文
共 50 条
  • [11] Stable solitons of quadratic Ginzburg-Landau equations
    Crasovan, LC
    Malomed, BA
    Mihalache, D
    Mazilu, D
    Lederer, F
    PHYSICAL REVIEW E, 2000, 62 (01) : 1322 - 1327
  • [12] Accessible solitons in complex Ginzburg-Landau media
    He, Yingji
    Malomed, Boris A.
    PHYSICAL REVIEW E, 2013, 88 (04):
  • [13] Optical solitons with complex Ginzburg-Landau equation
    Mirzazadeh, Mohammad
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Eslami, Mostafa
    Zhou, Qin
    Kara, Abdul H.
    Milovic, Daniela
    Majid, Fayequa B.
    Biswas, Anjan
    Belic, Milivoj
    NONLINEAR DYNAMICS, 2016, 85 (03) : 1979 - 2016
  • [14] A modified Ginzburg-Landau model for Josephson junctions in a ring
    Hill, E
    Rubinstein, J
    Sternberg, P
    QUARTERLY OF APPLIED MATHEMATICS, 2002, 60 (03) : 485 - 503
  • [15] Manipulating solitons by antisymmetric inhomogeneous loss in the complex Ginzburg-Landau model
    Wang, Hongcheng
    Zhu, Weiling
    Liu, Jinglin
    Ling, Dongxiong
    He, Yingji
    OPTICS COMMUNICATIONS, 2013, 306 : 160 - 164
  • [16] Optical solitons with complex Ginzburg-Landau equation by modified simple equation method
    Arnous, Ahmed H.
    Seadawy, Aly R.
    Alqahtani, Rubayyi T.
    Biswas, Anjan
    OPTIK, 2017, 144 : 475 - 480
  • [17] A Ginzburg-Landau model in superfluidity
    Bertil, Alessia
    Berti, Valeria
    COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2012, 3 (02):
  • [18] A reduced Ginzburg-Landau model in
    Fan, Jishan
    Jing, Lulu
    Nakamura, Gen
    Tang, Tong
    APPLICABLE ANALYSIS, 2021, 100 (16) : 3629 - 3634
  • [19] Stability analysis of fundamental dissipative Ginzburg-Landau solitons
    Aleksic, Branislav
    Zarkov, Boban
    Skarka, Vladimir
    Aleksic, Najdan
    PHYSICA SCRIPTA, 2012, T149
  • [20] Dissipative Solitons in Coupled Complex Ginzburg-Landau Equations
    Pak, On Shun
    Lam, Chun Kit
    Nakkeeran, Kaliyaperumal
    Malomed, Boris
    Chow, Kwok Wing
    Senthilnathan, Krishnamoorthy
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2009, 78 (08)
12345