• On symmetry groups of a 2D nonlinear diffusion equation with source

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      https://www.ias.ac.in/article/fulltext/pram/084/04/0543-0553

    • Keywords

       

      Partial derivative equations; symmetry groups; source terms.

    • Abstract

       

      Symmetry analysis of a 2D nonlinear evolutionary equation with mixed spatial derivative and general source term involving the dependent variable and its spatial derivatives is performed. The source terms for which the equation admits nontrivial Lie symmetries are identified for two different forms of the symmetry operator. In one of these cases, the symmetries do not depend on the form of nonlinearities and in the other case, nonlinearities of power, exponential and trigonometric forms are considered. There are no supplementary nonclassical symmetries for the investigated equation. The results reported here generalize the previous results on the 2D heat equation and the 2D Ricci model.

    • Author Affiliations

       

      Radica Cimpoiasu1

      1. Research Center Frontier in Biology and Astrobiology, University of Craiova, 13 A.I.Cuza, 200585 Craiova, Romania
    • Dates

       
  • Pramana – Journal of Physics | News

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