• Article  

      Exact solutions of a remarkable fin equation 

      Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2008)
      A model 'remarkable' fin equation is singled out from a class of nonlinear (1 + 1)-dimensional fin equations. For this equation a number of exact solutions are constructed by means of using both the classical Lie algorithm ...
    • Article  

      Group analysis of nonlinear fin equations 

      Vaneeva, Olena O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, Christodoulos (2008)
      Group classification of a class of nonlinear fin equations is carried out exhaustively. Additional equivalence transformations and conditional equivalence groups are also found. These enable us to simplify the classification ...