For the time being, investigation of nonlinear structures in space have become an important tool that plays a role in the flybys electronic devices, as it has a very remarkable feature to protect the electronics used in spacecrafts.
The dynamics behavior of nonlinear dust-ion-acoustic shock-like, soliton, and periodic waves are investigated in a stationary positively charged dusty plasma, mobile ions and isothermal electrons those interact with streaming solar wind ions and electrons.
The basic equations describing the dynamics of dust-ion-acoustic waves is reduced to one evolution equation called nonlinear Korteweg-de Vries (KdV) equation using the reductive perturbation method.
Possible solutions of the KdV equation are obtained including shock-like, soliton, and periodic waves solutions using a traveling wave transformation.
The effects of different plasma parameters (such as proton solar wind beam temperature, streaming velocity, and ion masses as well as Jupiter positive ions temperature and mass) on the behavior of the shocklike, soliton, and periodic waves have been examined.