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Group classification of the two-dimensional magnetogasdynamics equations in Lagrangian coordinates
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  • Sergey Meleshko,
  • Evgenii Kaptsov,
  • S. Moyo,
  • G. M. Webb
Sergey Meleshko
Suranaree University of Technology School of Mathematics

Corresponding Author:[email protected]

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Evgenii Kaptsov
Suranaree University of Technology School of Mathematics
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S. Moyo
Stellenbosch University Faculty of Science
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G. M. Webb
The University of Alabama in Huntsville
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The present paper is devoted to the group classification of magnetogasdynamics equations in which dependent variables in Euler coordinates depend on time and two spatial coordinates. It is assumed that the continuum is inviscid and nonthermal polytropic gas with infinite electrical conductivity. The equations are considered in mass Lagrangian coordinates. Use of Lagrangian coordinates allows reducing number of dependent variables. The analysis presented in this article gives complete group classification of the studied equations. This analysis is necessary for constructing invariant solutions and conservation laws on the base of Noether’s theorem.
27 Dec 2022Submitted to Mathematical Methods in the Applied Sciences
27 Dec 2022Submission Checks Completed
27 Dec 2022Assigned to Editor
03 Jan 2023Review(s) Completed, Editorial Evaluation Pending
05 Jan 2023Reviewer(s) Assigned
25 Apr 2023Editorial Decision: Accept