Abstract
The effects of the magnetic field, plasma rotation and different parameters on the nonlinear natures of dust-ion-acoustic solitary waves have been investigated theoretically. The contemplated dusty plasma system is three-dimensional and homogeneously magnetized through which solitary waves of small amplitude propagate obliquely. The plasma consists of trapped negatively charged lighter ions, stationary dust particles with arbitrary charges, Maxwellian distributed electrons and mobile positively charged heavier ions. In this article, at the outset, we have derived the nonlinear modified Zakharov-Kuznetsov (mZK) equation by the reductive perturbation method, and then the equation is examined by a suggested mathematical technique. Therefore, advanced and typical wave solutions have been computed to analyze the dust-ion-acoustic solitary waves which propagate in the magnetorotating plasma. The effects of the magnetic field, the Coriolis force, and different plasma constituents on wave characteristics have been thoroughly investigated and it is found that they have a significant role in changing the amplitude and width of the dust-ion-acoustic solitary waves. Furthermore, the electric field and the soliton energy have also been calculated. These results might be significant to illustrate astrophysical and fusion devices, cosmic phenomena, pulsar radiations, rotating plasma waves, etc.
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