Using high temporal and high spatial resolution observations taken by the Atmospheric Imaging Assembly onboard the Solar Dynamics Observatory , we present the detailed observational analysis of a high quality quasi-periodic fast-propagating ( QFP ) magnetosonic wave that was associated with the eruption of a magnetic flux rope and a GOES C5.0 flare . For the first time , we find that the QFP wave lasted during the entire flare lifetime rather than only the rising phase of the accompanying flare as reported in previous studies . In addition , the propagation of the different parts of the wave train showed different kinematics and morphologies . For the southern ( northern ) part , the speed , duration , intensity variation are about 875 \pm 29 ( 1485 \pm 233 ) km s ^ { -1 } , 45 ( 60 ) minutes , and 4 % ( 2 % ) , and the pronounced periods of them are 106 \pm 12 and 160 \pm 18 ( 75 \pm 10 and 120 \pm 16 ) seconds , respectively . It is interesting that the northern part of the wave train showed obvious refraction effect when they pass through a region of strong magnetic field . Periodicity analysis result indicates that all the periods of the QFP wave can be found in the period spectrum of the accompanying flare , suggesting their common physical origin . We propose that the quasi-periodic nonlinear magnetohydrodynamics process in the magnetic reconnection that produces the accompanying flare should be important for exciting of QFP wave , and the different magnetic distribution along different paths can account for the different speeds and morphology evolution of the wave fronts .