各向同性和各向异性等离子体平衡之间的无限维贝克隆变换。各向异性等离子体平衡的无限对称性
Infinite-dimensional Bäcklund transformations between isotropic and anisotropic plasma equilibria. Infinite symmetries of anisotropic plasma equilibria
摘要：
本文建立了经典各向同性MHD和等离子体平衡的几种情形的解与相应的各向异性平衡的解之间的贝克隆变换。变换似乎是无限维的，并允许建立具有各种物理性质的解决方案。我们还提出了一个新的无限维李群的各向异性等离子体平衡方程的内在对称性，类似于各向同性的情况。
英文摘要：
In this paper we establish Bäcklund transformations between solutions of several cases of classical isotropic MHD and plasma equilibria and corresponding anisotropic equilibria. The transformations appear to be infinite-dimensional and allow building solutions with variety of physical properties. We also present a new infinite-dimensional Lie group of intrinsic symmetries of anisotropic plasma equilibria equations, similar to those for the isotropic case.
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