Kuznetsov-Ma Breather in Two-Temperature-Ion Dusty Plasma

Using both the particle-in-cell (PIC) numerical simulation method and analytical results, we investigated the dynamical behavior of Kuznetsov-Ma breather (K-Mb) in a two-temperature dusty plasma system. Both numerical and analytical results show that the K-Mb can exist in the system. It may also evolve into other types of nonlinear waves, such as bright soliton (BS), continuous wave, and rogue wave (RW) due to the influence of the background wave amplitude and the other system parameters. It is found that the width of K-Mb decreases as the amplitude and the parameters a and b increase, while it slightly increases as the wavenumber increases. The speed of K-Mb decreases as both the amplitude and the wavenumber increase. The application scope of the analytical results is also given which is that both the amplitude and the wavenumber are small enough.