Figure 2

(Color online) First-order rational solutions: (a1)(b1) Three-dimensional plots of \(u_{n}\) and \(v_{n}\) with \(e_{0}=0\) in (21); (a2)(b2) The trajectory plot of solutions \(u_{n}\) and \(v_{n}\) via expressions (22) with \(e_{0}=0\) corresponding to (a1),(b1); (c1)(d1) Three-dimensional plots of \(u_{n}\) and \(v_{n}\) with \(e_{0}=10\) in (21); (c2)(d2) The controllable moving trajectory plot of solutions \(u_{n}\) and \(v_{n}\) via expressions (22) with \(e_{0}=10\) corresponding to (c1)(d1)