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Exact Solutions to the Beltrami Equation with a Non-constant \(\alpha({\bf x})\)

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Abstract

Infinite families of new exact solutions to the Beltrami equation with a non-constant \(\alpha({\bf x})\) are derived. Differential operators connecting the steady axisymmetric Klein – Gordon equation and a special case of the Grad – Shafranov equation are constructed. A Lie semi-group of nonlinear transformations of the Grad – Shafranov equation is found.

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Authors and Affiliations

  1. Departrment of Mathematics and Statistics, Queen’s University, K7L 3N6 ON, Kingston, Canada

    Oleg Bogoyavlenskij & Yuyang Peng

Authors
  1. Oleg Bogoyavlenskij
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  2. Yuyang Peng
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Corresponding authors

Correspondence to Oleg Bogoyavlenskij or Yuyang Peng.

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The authors declare that they have no conflicts of interest.

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MSC2010

35-XX

76-XX

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Bogoyavlenskij, O., Peng, Y. Exact Solutions to the Beltrami Equation with a Non-constant \(\alpha({\bf x})\). Regul. Chaot. Dyn. 26, 692–699 (2021). https://doi.org/10.1134/S1560354721060071

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  • DOI: https://doi.org/10.1134/S1560354721060071

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