ASYMPTOTIC ANALYSIS OF COUPLED OSCILLATORS EQUATIONS IN A NON-UNIFORM PLASMA

被引：0
|
作者：
Gogoberidze, Grigol [1 ]
机构：
[1] Ilia State Univ, Inst Theoret Phys, 3-5 Cholokashvili Ave, GE-0162 Tbilisi, Georgia
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2021年 / 175卷 / 02期
基金：
美国国家科学基金会;
关键词：
Liouville-Green method; Asymptotic analysis;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a set of coupled oscillators equations describing Alfven's linear coupling and fast magnetosonic waves in a magnetized plasma. Using the methods of asymptotic analysis, we derive analytical expressions for the transformation coefficient, as well as Liouville-Green asymptotic solutions. The obtained results are compared with the mathematically similar Landau-Zener problem in quantum mechanics.
引用
收藏
页码：281 / 284
页数：4
相关论文
共 50 条
  • [31] COMPRESSIONAL ALFVEN WAVES IN A NON-UNIFORM PLASMA
    MORROW, R
    BRENNAN, MH
    PLASMA PHYSICS, 1971, 13 (01): : 75 - &
  • [32] The effects of non-uniform drive on plasma filaments
    Shanahan, Brendan
    Ben Dudson
    Hill, Peter
    JOINT VARENNA-LAUSANNE INTERNATIONAL WORKSHOP ON THE THEORY OF FUSION PLASMAS, 2018, 1125
  • [33] THEORY OF CYCLOTRON INSTABILITY IN A NON-UNIFORM PLASMA
    MIKHAILOVSKII, AB
    TIMOFEEV, AV
    SOVIET PHYSICS JETP-USSR, 1963, 17 (03): : 626 - 627
  • [34] Electromagnetically induced transparency in a non-uniform plasma
    Su, XM
    Dong, P
    Gao, JY
    Muraoka, K
    EUROPEAN PHYSICAL JOURNAL D, 2000, 12 (01): : 193 - 196
  • [35] INTERACTION OF A NON-UNIFORM PLASMA WITH MICROWAVE RADIATION
    KLEIN, MM
    GREYBER, HD
    KING, JIF
    BRUECKNER, KA
    PLANETARY AND SPACE SCIENCE, 1961, 6 : 105 - 115
  • [36] HARMONIC GENERATION IN A NON-UNIFORM, MAGNETIZED PLASMA
    FIDONE, I
    CANO, R
    SCHWART, MJ
    ZANFAGNA, B
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1971, 16 (11): : 1273 - &
  • [37] Non-uniform in time robust global asymptotic output stability
    Karafyllis, I
    SYSTEMS & CONTROL LETTERS, 2005, 54 (03) : 181 - 193
  • [38] Order of magnitude analysis of the equations of motion of a particle in a non-uniform unsteady flow
    Armand, P.
    Monavon, A.
    Cornet, P.
    Durin, M.
    Journal of Aerosol Science, 1994, 25 (SUPPL 1): : 395 - 396
  • [39] Analytical analysis of free vibration of non-uniform and non-homogenous beams: Asymptotic perturbation approach
    Cao, Dongxing
    Gao, Yanhui
    Wang, Jiaojiao
    Yao, Minghui
    Zhang, Wei
    APPLIED MATHEMATICAL MODELLING, 2019, 65 : 526 - 534
  • [40] Model of the coupled transmission lines with a non-uniform dielectric
    Urbanavicius, V.
    Mikucionis, S.
    Martavicius, R.
    ELEKTRONIKA IR ELEKTROTECHNIKA, 2007, (05) : 23 - 28
12345