Browsing by Author "Tsaousi, Christina"
Now showing items 1-8 of 8
-
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 ...
-
Doctoral Thesis Open Access
Differential invariants of hyperbolic equations
Tsaousi, Christina (Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών / University of Cyprus, Faculty of Pure and Applied Sciences, 2009-03)Σε αυτή την διατριβή, πρώτα θα αναφερθούμε σε βασικούς ορισμούς των ομάδων μετασχηματισμών Lie, των απειροστών μετασχηματισμών και το αναλλοίωτο των μερικών διαφορικών εξισώσεων, τα οποία είναι χρήσιμα για τα επόμενα ...
-
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 ...