Prolongation Loop Algebras for a Solitonic System of Equations

We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Backlund transformation preserves the reality of the n-soliton potentials and establish their pole structure with respect to the broadening parameter. The natural phase space of the model is embedded in an infinite dimensional loop algebra. The dynamical equations of the model are associated to an infinite family of higher order Hamiltonian systems that are in involution. We present the Hamiltonian functions and the Poisson brackets between the extended potentials.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA

Theoretical approach and practical analysis on employment measures- case study on Romania, 2010

The active measures are the main strategies that have the effect of reducing the unemployment, on short, medium and long term. An active measure has the effect of employment growth, by creating new jobs or by facilitating the access to vacancies. This paper aims to inform about the active measures taken in Romania in 2010, through the Employment Program’s previsions. Also, the paper offer a short analyses concerning the number of persons included in these measures, by Romania’s regions and by categories of ages