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Symmetry group analysis and exact solutions of isentropic magnetogasdynamics

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Abstract

In this paper, we obtain exact solutions to the nonlinear system of partial differential equations (PDEs), describing the one dimensional unsteady simple flow of an isentropic, inviscid and perfectly conducting compressible fluid, subjected to a transverse magnetic field. Lie group of point transformations are used for constructing similarity variables which lead the governing system of PDEs to system of ordinary differential equations (ODEs); in some cases, it is possible to solve these equations exactly. A particular solution to the governing system, which exhibits space-time dependence, is used to study the evolutionary behavior of weak discontinuities.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, 769008, India

    B. Bira & T. Raja Sekhar

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  1. B. Bira
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  2. T. Raja Sekhar
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Correspondence to T. Raja Sekhar.

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Bira, B., Sekhar, T.R. Symmetry group analysis and exact solutions of isentropic magnetogasdynamics. Indian J Pure Appl Math 44, 153–165 (2013). https://doi.org/10.1007/s13226-013-0008-9

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  • DOI: https://doi.org/10.1007/s13226-013-0008-9

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