• An analysis of the nonlinear equation $u_t = f(x, u)u_{xx} + g(x, u)u^2_x + h(x, u)u_x + p(x, u)$

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Partial differential equations; symmetries, nonlinear diffusion equation.

    • Abstract


      We use the method of preliminary group classification to analyse a particular form of the nonlinear diffusion equation in which the inhomogeneity is quadratic in $u_x$. The method yields an optimal system of one-dimensional subalgebras. As a result we obtain those explicit forms of the unknown functions 𝑓, 𝑔, ℎ and 𝑝 for which the equation admits additional point symmetries.

    • Author Affiliations


      R M Edelstein1 K S Govinder1

      1. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South Africa
    • Dates

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.