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

页码：281 / 284

页数：4

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