A Ermakov-Ray-Reid reduction in 2+1-dimensional magnetogasdynamics

被引：0
|
作者：
Rogers, Colin [1 ,2 ]
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
[2] Univ New South Wales, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sch Math, Sydney, NSW 2052, Australia
来源：
GROUP ANALYSIS OF DIFFERENTIAL EQUATIONS AND INTEGRABLE SYSTEM, 5TH INTERNATIONAL WORKSHOP | 2011年
关键词：
TIME-DEPENDENT SOLUTIONS; SUBSTITUTION PRINCIPLES; NONLINEAR SUPERPOSITION; SIMILARITY SOLUTIONS; SYSTEMS; EQUATIONS; BEAMS; PLASMA;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A 2+1-dimensional system governing rotating homentropic magnetogasdynamics with a parabolic gas law is shown to admit an elliptic vortex ansatz determined by an eight-dimensional nonlinear dynamical system with underlying integrable Ermakov-Ray-Reid structure. A novel magnetogasdynamic analogue of the pulsrodon of shallow water f-plane theory is isolated thereby.
引用
收藏
页码：164 / 177
页数：14
相关论文
共 50 条
  • [41] The Sum Over Topological Sectors and θ in the 2+1-Dimensional σ-Model
    Freed, Daniel S.
    Komargodski, Zohar
    Seiberg, Nathan
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 362 (01) : 167 - 183
  • [42] Reciprocal link for 2+1-dimensional extensions of shallow water equations
    Hone, ANW
    APPLIED MATHEMATICS LETTERS, 2000, 13 (03) : 37 - 42
  • [43] Hypocycloidal throat for 2+1-dimensional thin-shell wormholes
    Mazharimousavi, S. Habib
    Halilsoy, M.
    EUROPEAN PHYSICAL JOURNAL C, 2015, 75 (11): : 1 - 5
  • [44] Higher central charges and topological boundaries in 2+1-dimensional TQFTs
    Kaidi, Justin
    Komargodski, Zohar
    Ohmori, Kantaro
    Seifnashri, Sahand
    Shao, Shu-Heng
    SCIPOST PHYSICS, 2022, 13 (03):
  • [45] Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole
    Gecim, Ganim
    Sucu, Yusuf
    ADVANCES IN HIGH ENERGY PHYSICS, 2020, 2020
  • [46] NODES, MONOPOLES AND CONFINEMENT IN 2+1-DIMENSIONAL GAUGE-THEORIES
    ASOREY, M
    FALCETO, F
    LOPEZ, JL
    LUZON, G
    PHYSICS LETTERS B, 1995, 349 (1-2) : 125 - 130
  • [47] Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole
    Gecim, Ganim
    Sucu, Yusuf
    Sucu, Yusuf (ysucu@akdeniz.edu.tr), 1600, Hindawi Limited (2020):
  • [48] Propagation properties in a 2+1-dimensional hybrid photonic crystal waveguide
    Han, SH
    Park, QH
    Park, YS
    Roh, Y
    Jeon, HS
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2004, 45 (01) : 9 - 12
  • [49] Erratum to: Interacting fractons in 2+1-dimensional quantum field theory
    Jacques Distler
    Murtaza Jafry
    Andreas Karch
    Amir Raz
    Journal of High Energy Physics, 2023
  • [50] Sharp Global Regularity for the 2+1-Dimensional Equivariant Faddeev Model
    Geba, Dan-Andrei
    Nakanishi, Kenji
    Zhang, Xiang
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (22) : 11549 - 11565
12345