  Using the Schwarzschild coordinate frame for a static cyclic symmetric metric
in 2 + 1 Einstein gravity coupled to a electric Maxwell field and a dilaton
logarithmically depending on the radial coordinate in the presence of an
exponential potential the general solution of the Einstein Maxwell dilaton
equations is derived and it is identified with the Chan Mann charged dilaton
solution. Via a general SL(2;R) transformation, applied on the obtained charged
dilaton metric, a family of stationary dilaton solutions has been generated;
these solutions possess five parameters: dilaton and cosmological constants ,
charge, momentum, and mass for some values of them. All the exhibited solutions
have been characterized by their quasi-local energy, mass, and momentum through
their series expansions at spatial infinity. The structural functions
determining these solutions increase as the radial coordinate does, hence they
do not exhibit an dS AdS behavior at infinity Moreover, the algebraic structure
of the Maxwell field, energy-momentum, and Cotton tensors is given explicitly.
