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摘要: 本文导出了描述非均匀、磁化等离子体的非线性方程,找到了二维孤波解。它在结构上与文献所得到的解相似,但性质上有若干不同之处:此孤波解的传播速率可取零之外的任意值,而且可在垂直于磁场的平面内的任意方向传播;等离子体附着在孤波上而且随之一起横越磁场运动。这表明此种孤波解的存在与等离子体中横越磁场的反常输运现象是相关的。
Abstract: The paper presents a nonlinear MHD equation describing 2-D inhomogeneous magnetized plasma. Then a 2-D solitary vortex solution was given. Its structure is similar to the solution obtained in papers [2, 3], but it differs from the latter in several aspects. There is no restriction on the values of vortex speeds and the solitary waves can propagate in any direction in the plane with magnetic field B as its normal. The plasma is adhered to the vortex and moving along with it across B. This implies that the existence of solitary vortices is connected with anomalous transport of plasma.