Browsing by Subject "Similarity reductions"

Now showing items 1-4 of 4

    • Article  

      Enhanced group classification of Benjamin–Bona–Mahony–Burgers equations 

      Vaneeva, Olena O.; Pošta, Severin; Sophocleous, Christodoulos (2017)
      A class of the Benjamin–Bona–Mahony–Burgers (BBMB) equations with time-dependent coefficients is investigated with the Lie symmetry point of view. The set of admissible transformations of the class is described exhaustively. ...
    • Article  

      Group analysis of (2 + 1)- and (3 + 1)-dimensional diffusion-convection equations 

      Demetriou, Ellie; Ivanova, Nataliya M.; Sophocleous, Christodoulos (2008)
      We perform the complete Lie group classification of a (2 + 1)- and a (3 + 1)-dimensional classes of non-linear diffusion-convection equations. This classification generalizes and completes existing results in the literature. ...
    • Article  

      Numerical similarity reductions of the (1+3)-dimensional Burgers equation 

      Christou, Marios Andreas; Sophocleous, Christodoulos (2011)
      We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...
    • Article  

      Similarity reductions of the (1 + 3)-dimensional Burgers equation 

      Christou, Marios Andreas; Ivanova, Nataliya M.; Sophocleous, Christodoulos (2009)
      We consider the (1 + 3)-dimensional Burgers equation ut = uxx + uyy + uzz + uux which has considerable interest in mathematical physics. We complete the list of similarity reductions that are obtained from the Lie symmetries ...