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Exact force-free plasma equilibria with axial and with translational symmetries
Zeitschrift für Naturforschung A ( IF 1.8 ) Pub Date : 2020-08-27 , DOI: 10.1515/zna-2020-0103 Oleg Bogoyavlenskij 1
Zeitschrift für Naturforschung A ( IF 1.8 ) Pub Date : 2020-08-27 , DOI: 10.1515/zna-2020-0103 Oleg Bogoyavlenskij 1
Affiliation
Abstract Exact force-free plasma equilibria satisfying the nonlinear Beltrami equation are derived. The construction is based on a nonlinear transformation that allows to get from any solution to the linear Beltrami equation a one-parametric family of exact solutions to the nonlinear one. Exact force-free plasma equilibria connected with the Sine-Gordon equation are presented.
中文翻译:
具有轴向和平移对称性的精确无力等离子体平衡
摘要 推导出满足非线性Beltrami方程的精确无力等离子体平衡。该构造基于非线性变换,该变换允许从线性贝尔特拉米方程的任何解获得非线性方程的精确解的单参数族。提供了与 Sine-Gordon 方程相关的精确无力等离子体平衡。
更新日期:2020-08-27
中文翻译:
具有轴向和平移对称性的精确无力等离子体平衡
摘要 推导出满足非线性Beltrami方程的精确无力等离子体平衡。该构造基于非线性变换,该变换允许从线性贝尔特拉米方程的任何解获得非线性方程的精确解的单参数族。提供了与 Sine-Gordon 方程相关的精确无力等离子体平衡。