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- Title
ASYMPTOTIC ANALYSIS OF COUPLED OSCILLATORS EQUATIONS IN A NON-UNIFORM PLASMA.
- Authors
GOGOBERIDZE, GRIGOL
- Abstract
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.
- Subjects
ASYMPTOTIC distribution; COUPLED problems (Complex systems); NONLINEAR oscillators; NONUNIFORM plasmas; PLASMA Alfven waves
- Publication
Transactions of A. Razmadze Mathematical Institute, 2021, Vol 175, Issue 2, p281
- ISSN
2346-8092
- Publication type
Article