Fig. 1

A traveling solitary translatory wave, which preserves its form by not interacting with any local disturbances. The directions of wave propagation in space and time coordinate \((x,t)\) at different degrees of freedom on the interval \(0 \le \alpha \le 1\) were presented in A–E. E particularly reflects that the translatory wave tends to converge to the exact direction of the wave propagation presented in F at an integer order