“…See for details [6] . Characteristic properties and singularities of sweeping surfaces have been studied by many authors [7] , [8] , [9] , [10] , [11] , [12] , [13] , [14] . From a different point of view, the coupled non-dispersion (CD) equation from the motion of the involute evolute curve family, which provides a suitable interpretation for the integrability conditions is introduced in [15] .…”