The simulations solve equation
Pulse: s = 1 , d2 = 0 , d3 = 0 (in.1) movie
Beating: s = 2 , d2 = 0 , d3 = 1, positive group velocity (in.3)movie
Beating: s = 2 , d2 = 0 , d3 = 4, negative group velocity (in.2)movie
Pulse with dissipation: s = 1 , d2 = 0.2 , d3 = 0 (in.5)movie
Pulse with dispersion: s = 1 , d2 = 0 , d3 = 1 (in.4)movie