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Exact Solutions of the Two-Dimensional Cattaneo Model Using Lie Symmetry Transformations

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  • Khudija Bibi
  • Khalil Ahmad
  • Paolo Renna

Abstract

In this article, symmetry technique is utilized to obtain new exact solutions of the Cattaneo equation. The infinitesimal symmetries, linear combinations of these symmetries, and corresponding similarity variables are determined, which lead to many exact solutions of the considered equation. By applying similarity transformations, the mentioned partial differential equation is reduced to some ordinary differential equations of second order. Solutions of these ordinary differential equations have yielded many exact solutions of the Cattaneo equation.

Suggested Citation

  • Khudija Bibi & Khalil Ahmad & Paolo Renna, 2021. "Exact Solutions of the Two-Dimensional Cattaneo Model Using Lie Symmetry Transformations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-8, April.
    • Handle: RePEc:hin:jnddns:6629074
    DOI: 10.1155/2021/6629074
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