Lapenta Giovanni
Plasma Theory Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev Lett. 2003 Apr 4;90(13):135005. doi: 10.1103/PhysRevLett.90.135005.
A new class of solitonlike solutions is derived for the Grad-Shafranov (GS) equations. A mathematical analogy between the GS equation for MHD equilibria and the cubic Schrödinger equation for nonlinear wave propagation forms the basis to derive the new class of solutions. The solitonlike solutions are considered for their possible relevance to astrophysics and solar physics problems. We discuss how a solitonlike solution can be generated by a repetitive process of magnetic arcade stretching and plasmoid formation induced by the differential rotation of the solar photosphere or of an accretion disk.
为Grad-Shafranov（GS）方程推导了一类新的类孤子解。磁流体动力学平衡的GS方程与非线性波传播的三次薛定谔方程之间的数学类比构成了推导这类新解的基础。考虑到类孤子解与天体物理学和太阳物理学问题可能的相关性。我们讨论了类孤子解如何通过太阳光球层或吸积盘的差动旋转引起的磁拱拉伸和等离子体形成的重复过程产生。
