Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems

Theoretical and Mathematical Physics - Using the adjoint representations of Lie algebras, we classify all Jacobi structures on real two- and three-dimensional Lie groups. We also study...     

Classical r-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups

We obtain the classical r-matrices of two- and three-dimensional Lie superbialgebras. We thus classify all two- and three-dimensional coboundary Lie superbialgebras and their types (triangular, quasitriangular, or factorable). Using the Sklyanin superbracket, we then obtain the super Poisson structures on the related Poisson-Lie supergroups.     

Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson–Lie groups

We classify all four-dimensional real Lie bialgebras of symplectic type and obtain the classical r-matrices for these Lie bialgebras and Poisson structures on all the associated four-dimensional Poisson–Lie groups. We obtain some new integrable models where a Poisson–Lie group plays the role of the phase space and its dual Lie group plays the role of the symmetry group of the system.     

Synthesis of TiO2 and ZnO Nanoparticles and CTAB-Stabilized Fe3O4 nanocomposite: kinetics and thermodynamics of adsorption

Research on Chemical Intermediates - In the present study, TiO2, ZnO, and CTAB-stabilized Fe3O4 nanocomposite were successfully synthesized and employed for the removal of yellow 145 dye from...