Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Tsaousi, Christina"

Now showing items 1-7 of 7

    • Article  

      Differential invariants for systems of linear hyperbolic equations 

      Tsaousi, Christina; Sophocleous, Christodoulos (2010)
      In this paper we consider a general class of systems of two linear hyperbolic equations. Motivated by the existence of the Laplace invariants for the single linear hyperbolic equation, we adopt the problem of finding ...
    • Article  

      Differential invariants for third-order evolution equations 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
      We consider a general class of third order evolution equations. We construct differential invariants with the employment of the infinitesimal method that using equivalence groups. We use the differential invariants to ...
    • Article  

      Invariants of two- and three-dimensional hyperbolic equations 

      Tsaousi, Christina; Sophocleous, Christodoulos; Tracinà, Rita (2009)
      We consider linear hyperbolic equations of the formut t = underover(∑, i = 1, n) uxi xi + underover(∑, i = 1, n) Xi (x1, ..., xn, t) uxi + T (x1, ..., xn, t) ut + U (x1, ..., xn, t) u . We derive equivalence transformations ...
    • Article  

      Laplace type invariants for variable coefficient mKdV equations 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
      We consider a class of variable-coefficient mKdV equations. We derive the equivalence transformations in the infinitesimal form and we employ them to construct differential invariants of the respective equivalence algebra. ...
    • Article  

      Laplace type invariants for variable coefficient mKdV equations[ONLINE] 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
    • Article  

      On linearization of hyperbolic equations using differential invariants 

      Tsaousi, Christina; Sophocleous, Christodoulos (2008)
      In this paper we consider the general class of hyperbolic equations ux t = F (x, t, u, ux, ut). We use equivalence transformations to derive differential invariants for this class and for two subclasses. Then we employ ...
    • 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 ...