Relevant contour plots of the lumpoff waves (42) for Eq. (3) with the parameters (43) at different times: (a) t = −2, (b) t = 0, (c) t = 5, (d) t = 20; and density plots of lumpoff waves (42) for Eq. (3) with the parameters (43) at times: (e) t = −2, (f) t = 0, (g) t = 5, (h) t = 20.