Traveling Wave Solutions for Time-Fractional mKdV-ZK Equation of Weakly Nonlinear Ion-Acoustic Waves in Magnetized Electron–Positron Plasma

In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical model, developed for plasma hot and cool electrons some fluid ions. Based on properties certain employed truncated M-fractional derivatives, reduce equation to an integer-order ordinary differential utilizing adequate traveling wave transformation. Further, derive dynamical system present bifurcation equilibria show existence solitary kink singular solutions equation. Furthermore, establish symmetric solitary, kink, governing model by using ansatz method. Moreover, depict desired results at different parameter values provide interpolations aforementioned Finally, introduce applications in detail.