Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Tracinà, Rita"

Now showing items 1-8 of 8

    • Article  

      Differential invariants for quasi-linear and semi-linear wave-type equations 

      Sophocleous, Christodoulos; Tracinà, Rita (2008)
      In this paper, we consider the class of wave-type equations utt = f (x, t, u) uxx + g (x, t, u, ux, ut) and two special cases of it. We derive the equivalence transformations for these equations and using these transformations, ...
    • 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  

      Lie group analysis of two-dimensional variable-coefficient Burgers equation 

      Ivanova, Nataliya M.; Sophocleous, Christodoulos; Tracinà, Rita (2010)
      The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...
    • Article  

      Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation 

      Sophocleous, Christodoulos; Tracinà, Rita (2018)
      We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a ...
    • 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 ...