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
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