Browsing by Subject "Hyperbolic equations"

Now showing items 1-3 of 3

    • 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  

      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  

      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 ...