A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures
Lou Sen-Yue
       

(a) Few cycle soliton structure expressed by Eq. (48) with c = 4 at time t = 0. (b) Envelope soliton structure expressed by Eq. (48) with c = 50 at time t = 0. (c) Periodic kink given by Eq. (49) with c = 0.5 at time t = 0. (d) Kink–kink molecule given by Eq. (50) with c = 0, k1 = –1, k2 = –2, and x0 = 8. (e) Kink–kink molecule given by Eq. (50) with c = 0.06, k1 = –1, k2 = –2, k = 5, and x0 = 10 at t = 0. (f) PK–APK molecule given by Eq. (51) with x0 = y0 = –c = –5 and c1 = 0.1 at time t = 0.