Abstract
Using hodograph and Legendre transformation functions the basic equations are recast in terms of this function, and the conditions which this function should satisfy are stated. Several applications of this method are considered, and the geometry of magnetic field lines is discussed.
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Singh, S.N., Tripathi, D.D. A class of exact solutions and physical behaviour of magnetic field lines in plasma column. Proc. Indian Acad. Sci. (Math. Sci.) 98, 81–88 (1988). https://doi.org/10.1007/BF02880974
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DOI: https://doi.org/10.1007/BF02880974