Resonant Alfvén wave excitation in two-dimensional systems: Singularities in partial differential equations
Resonant Alfvén wave excitation in two-dimensional systems: Singularities in partial differential equations
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二维系统中的共振阿尔文波激励：偏微分方程中的奇点
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
A. Wright
中科院分区：
文献类型：
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作者：
M. Thompson;A. Wright
研究了均匀磁场中冷等离子体中阿尔芬波的共振激发。假设所有波场随exp[i（λy - ωt）]变化，背景介质在y方向不变。背景密度分布ρ0（x，z）是完全任意的。通过考虑广义Frobenius级数，在共振附近系统地导出了波的正则和奇异解，并且我们能够恢复在早期研究中发现的许多结果。我们的工作的一些新的特点包括一个概括的重叠积分确定的效率与任何共振可能被激发，和的可能性，在共振，y <$1/xN（N = 1，2，3.）。目前只考虑了N = 1的解。
The resonant excitation of Alfven waves is considered in a cold plasma embedded in a uniform magnetic field . All wave fields are assumed to vary as exp[i(λy - ωt)], and the background medium is invariant in y. The background density distribution ρ0(x, z) is otherwise completely arbitrary. Regular and singular solutions for the waves are derived systematically in the vicinity of a resonance by considering a generalized Frobenius series, and we are able to recover many results found in earlier studies. Some new features of our work include a generalization of the overlap integral determining the efficiency with which any resonance may be excited, and the possibility that ξy ∝ 1/xN (N = 1,2,3 …) at the resonance. Hitherto only the solution with N = 1 has been considered.