In this paper, modified Zakharov-Kuznetsov (mZK) equation is taken into consideration. Diverse variety of solitonic structures are computed by using extended algebraic method. Sufficient conditions for the existence of the computed solutions are presented. Then, Galilean transformation is utilized to transform the considered model in the planer dynamical system. All possible forms of phase portraits with respect to the parameters are plotted. Moreover, we utilized the numerical techniques to find out the nonlinear periodic structures of the discussed model and results are shown graphically. Moreover, after deploying an extrinsic periodic force the effect of frequency is observed then sensitive analysis is applied for different initial value problems to analyze the quasiperiodic and chaotic behaviour. In addition to this, Lie point symmetries and their corresponding conservation laws are reported at the end.

本文考虑了修正的Zakharov-Kuznetsov（mZK）方程。通过扩展的代数方法计算出多种多样的孤子结构。给出了计算解存在的充分条件。然后，利用伽利略变换在平面动力学系统中变换所考虑的模型。绘制了关于参数的所有可能形式的相图。此外，我们利用数值技术找出了所讨论模型的非线性周期结构，并以图形方式显示了结果。此外，在施加外部周期性力后，观察到频率的影响，然后对不同的初值问题应用敏感分析，以分析准周期和混沌行为。除此之外，