Rubik 2x2x3 Tower Cube

a.k.a. Slim Tower, Franken Tower
Made by Gentosha, Japan, 2009.
(plastic, 1.5 x 1.5 x 2.25 inches,
opposite red is yellow, opposite blue is light green, and opposite gray is black)

An extended Rubik's 2x2x2 where two dimensions are restricted to 180 degree rotations.

Notation: With a 2x3 surface facing you, F (front), B (back), U (up), and D (down) denote 180 degree clockwise rotations of the corresponding faces, L (left) and R (right) denote a 90 degree clockwise rotation of the corresponding faces, - to rotate counterclockwise instead of clockwise, 2 or 3 to do it two or three times.

Solution: The solution that comes with the puzzle gives the following transformations that may be used to solve the corners and edges independently.
Solve the corners using the following transformation as needed:
BRU <-> BRD:    U F R F    L- U L    U    R- U R
Solve the edges using the following transformation as needed:
UF <-> UB:    (U   R2)3

Further Reading
Jaap's Page, from: http://www.jaapsch.net/puzzles/cube223.htm
(Presents a similar approach with many additional transformations.)