Quasi-parallel propagating solitons in magnetised relativistic electron-positron plasmas

被引:2
作者
Ruderman, Michael S. [1 ,2 ,3 ]
Petrukhin, Nikolai S. [4 ]
Pelinovsky, Efim [4 ,5 ]
Kataeva, Liliya Y. [6 ]
机构
[1] Univ Sheffield, Sch Math & Stat, Hicks Bldg, Hounsfield Rd, Sheffield S3 7RH, England
[2] Russian Acad Sci, Space Res Inst IKI, Moscow, Russia
[3] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow, Russia
[4] Natl Res Univ Higher Sch Econ, Moscow, Russia
[5] Inst Appl Phys, Dept Nonlinear Geophys Proc, Nizhnii Novgorod, Russia
[6] Nizhnii Novgorod State Tech Univ, Nizhnii Novgorod, Russia
基金
俄罗斯科学基金会;
关键词
astrophysical plasmas; plasma nonlinear phenomena; plasma waves; NONLINEAR-WAVE PROPAGATION; SOLITARY ALFVEN MODES; MODULATIONAL INSTABILITY; SCHRODINGER-EQUATION; HYDROMAGNETIC-WAVES; MICROPOLAR MEDIA; GENERATION; FIELD;
D O I
10.1017/S0022377823000156
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this article, we study nonlinear waves propagating along the background magnetic field in relativistic electron-positron plasmas. Using the reductive perturbation method, we derive a three-dimensional equation describing these waves. When the perturbations do not vary in the directions orthogonal to the background magnetic field this equation reduces to the vector modified Kortewed-de Vries equation. We present solutions of the obtained equation in the form of planar solitary waves and describe the results of study of their stability with respect to transverse perturbations. We also study numerically non-planar solitary waves.
引用
收藏
页数:21
相关论文
共 53 条
[1]   Abrupt acceleration of a 'cold' ultrarelativistic wind from the Crab pulsar [J].
Aharonian, F. A. ;
Bogovalov, S. V. ;
Khangulyan, D. .
NATURE, 2012, 482 (7386) :507-509
[2]  
[Anonymous], 2013, ACAD EMERGENCY MED, V20, pS265
[3]   WAVE-PROPAGATION IN PULSAR MAGNETOSPHERES - DISPERSION-RELATIONS AND NORMAL-MODES OF PLASMAS IN SUPERSTRONG MAGNETIC-FIELDS [J].
ARONS, J ;
BARNARD, JJ .
ASTROPHYSICAL JOURNAL, 1986, 302 (01) :120-137
[4]   THEORY OF EXTRAGALACTIC RADIO-SOURCES [J].
BEGELMAN, MC ;
BLANDFORD, RD ;
REES, MJ .
REVIEWS OF MODERN PHYSICS, 1984, 56 (02) :255-351
[5]   Envelope solitons associated with electromagnetic waves in a magnetized pair plasma [J].
Cattaert, T ;
Kourakis, I ;
Shukla, PK .
PHYSICS OF PLASMAS, 2005, 12 (01) :1-6
[6]   Electrodynamics of Pulsar Magnetospheres [J].
Cerutti, Benoit ;
Beloborodov, Andrei M. .
SPACE SCIENCE REVIEWS, 2017, 207 (1-4) :111-136
[7]   SELF-MODULATIONAL FORMATION OF PULSAR MICROSTRUCTURES [J].
CHIAN, ACL ;
KENNEL, CF .
ASTROPHYSICS AND SPACE SCIENCE, 1983, 97 (01) :9-18
[8]   Nonlinear transverse waves in deformed dispersive solids [J].
Destrade, M. ;
Saccomandi, G. .
WAVE MOTION, 2008, 45 (03) :325-336
[9]   Coupled modified Kadomtsev-Petviashvili equations in dispersive elastic media [J].
Erbay, S .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (02) :289-297
[10]   NONLINEAR-WAVE PROPAGATION IN MICROPOLAR MEDIA .1. THE GENERAL-THEORY [J].
ERBAY, S ;
SUHUBI, ES .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1989, 27 (08) :895-914