arXiv subjects

Bila Nicoleta

Publications and source records attributed to Bila Nicoleta.

3 recordsLinked to original sources

arXiv1999

Symmetries of PDEs Systems in Solar Physics and Contact Geometry

One considers a special class of PDEs systems and one determines the associated symmetry group. Particulary, for the Blair system, one finds the symmetry group. A solutions of the Blair system gives a conformally flat contact metric structure and also it defines a "force-free" model of solar physics. By using the symmetry groups theory, one shows that the known solutions are group-invariant solutions and one gives new solutions.

math-ph↗

arXiv1999

Symmetry groups and Lagrangians associated to Tzitzeica surfaces

One applies the symmetry group theory for study the partial differential equations of Tzitzeica surfaces theory. One finds infinitesimal symmetries, Lagrangians and a new solution of Titzeica equation.

math.DG↗

arXiv1999

Symmetry Group of Tzitzeica Surfaces PDE

Using the symmetry group theory of second order PDEs, one finds the symmetry group associated to Tzitzeica surfaces partial differential equation. One studies the inverse problem and one shows that the Tzitzeica surfaces PDE is an Euler-Lagrange equation. One determines the variational symmetry group of the associated functional and one obtains the conservation laws of the Tzitzeica surfaces PDE. All these results shows that the Tzitzeica surfaces theory is strongly related to variational problems and hence it is a subject of global differential geometry.

math.DG↗