From a Wave.
As one movement, Step Thru; resulting Beaus 1/4 Right & Wheel Thru.
Ends in Back-to-Back Couples.
| From a R-H Wave: 
 | 
| From a L-H Wave: 
 | 
Notes:
- 
The end result of Swap The Wave is the same as if you did a 'rear back' and Swap Around, but the
    traffic pattern is different.
- 
Most other definition books give two definitions for Swap The Wave,
    depending upon whether the starting formation is a R-H Wave or a L-H Wave.  
  - From a R-H Wave, Swap The Wave is typically defined as Step Ahead and
      original Ends 'Tag Right'.
- From a L-H Wave, Swap The Wave is typically
      defined as Centers Turn Thru as Ends Step Thru.
 Hint: Those with the right hands toward the Center of the Wave do the 'Tag'.
Reverse Swap The Wave [C2]:
 From a Wave.
As one movement, Step Thru; resulting Belles 1/4 Left & Left Wheel Thru.
Ends in Back-to-Back Couples.
This is the mirror image version of Swap The Wave.
At C4, there are 2 different usages of 
anything The Wave.
- 
  anything The Wave [C4]:
 From a Wave.  Do the anything call as if you started from Facing Couples.  
    Some dancers 'rear-back' and then do the call.  For example: 
    Cross & Turn The Wave, Split Swap The Wave.  
    This usage of The Wave is rarely used since it is usually awkward to dance.
- 
  anything The Wave [C4]:
 From Parallel Waves.  In Tandem Step Thru; do the anything call.
    The anything call is usually a Peel Off movement (Peel Off, Trail Off,
    Peel & Trail, etc.) or Cloverleaf movement (Cloverleaf, Cross Cloverleaf).
    When the anything call is a Peel Off movement, the word 'Off' is
    conventionally omitted; similarly, when the anything call is a
   Cloverleaf movement, the word 'leaf' is conventionally omitted.  This usage of
    The Wave is not related to Swap The Wave.