Shear and compressional dust Alfvén solitons in a magnetized plasma medium of opposite polarity dust

Shear and compressional dust Alfvén solitons propagating in a medium of opposite polarity magnetized dust fluids have been theoretically studied by using the reductive perturbation method. The derivative nonlinear Shrödinger (DNLS) and Korteweg-de Vries (K-dV) equations, and their stationary solitonic solutions have been derived to identify the basic properties of shear and compressional dust Alfvén solitons. It is found that the opposite polarity dust medium under consideration supports the shear and compressional dust Alfvén solitons having new features with new (slow) time and (large) length scales. The basic features (amplitude and width) of the shear dust Alfvén solitons are found to be significantly different from those of the compressional ones. The importance of our results in understanding the nonlinear (localized) electromagnetic wave phenomena in space environments and laboratory devices is briefly discussed.