• Article  

      On the invariants of two dimensional linear parabolic equations 

      Tsaousi, Christina; Sophocleous, Christodoulos; Tracinà, Rita (2012)
      We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...
    • Article  

      Symmetry analysis for a class of nonlinear dispersive equations 

      Charalambous, Kyriakos; Sophocleous, Christodoulos (2015)
      A class of dispersive equations is studied within the framework of group analysis of differential equations. The enhanced Lie group classification is achieved. The complete list of equivalence transformations is presented. ...
    • Article  

      Symmetry properties for a generalised thin film equation 

      Charalambous, Kyriakos; Sophocleous, Christodoulos (2013)
      Symmetry properties are presented for a fourth-order parabolic equation written in conservation form. It was introduced in the literature as a generalisation of the fourth-order thin film equation. We derive equivalence ...