Three-Dimensional Nonlinear Extended Zakharov-Kuznetsov Dynamical Equation in a Magnetized Dusty Plasma via Acoustic Solitary Wave Solutions

The propagation of nonlinear three-dimensional dust-ion-acoustic solitary waves in a magnetized two-ion-temperature dusty plasma is analyzed. Modified extended mapping method is further modified to discover dust-ion-acoustic solitary wave solutions of the nonlinear three-dimensional extended Zakharov-Kuznetsov dynamical equation. Consequently, different kinds of solitary wave solutions representing electric potential, electric and magnetic fields, and electron fluid pressure, are obtained with the help of Mathematica. The new dispersive solitary wave solutions are found in various shapes such as bright and dark solitons, periodic solitary wave solutions, and dark and bright solitary waves, that are expressed in different forms such as hyperbolic, rational, exponential, and trigonometric functions. These results demonstrate the efficiency and accuracy of the proposed method that can be applied to other nonlinear models. The results are shown graphically.