The Rogue Waves in Two-Temperature-Ion Dusty Plasma

By using both the perturbation method and the numerical method, this article verified the existence of the Rogue wave (RW) in the two-temperature-ion dusty plasma. Dependence of the amplitude and the width of the RW on the system parameters such as the perturbed strength, background wave amplitude, and background wavenumber are given numerically. Furthermore, numerical results show that there is an application scope of the perturbation method used in this article. In the application scope, the analytical result of the RW can exactly describe the real one. However, the analytical result of the RW cannot describe the real one beyond the application scope.