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Self-similar solutions in a plasma with axial magnetic field (θ-pinch)

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Abstract

In this paper, Lie group of transformation method is used to investigate the self-similar solutions for the system of partial differential equations describing a plasma with axial magnetic field (θ–pinch). The arbitrary constants occurring in the expressions for the infinitesimals of the local Lie group of transformations give rise to two different cases of possible solutions i.e. with a power law and exponential shock paths. A particular solution to the problem in one case has been found out.

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  1. Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, 110078, India

    J. Jena

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  1. J. Jena
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Jena, J. Self-similar solutions in a plasma with axial magnetic field (θ-pinch). Meccanica 47, 1209–1215 (2012). https://doi.org/10.1007/s11012-011-9505-2

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  • DOI: https://doi.org/10.1007/s11012-011-9505-2

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