Dynamical behavior of ion-acoustic waves (IAWs) is explored in magnetized Auroral zone plasma comprising ions and two-temperature electrons. Employing reductive perturbation technique (RPT), Kadomtsev–Petviashvili (KP) and modified KP (mKP) equations are derived. By considering a typical set of parameters for the Auroral zone, all probable phase plots for unperturbed and perturbed dynamical systems are analyzed. Numerical and analytical wave solutions corresponding to distinct phase trajectories of the unperturbed system are presented. Effectiveness of spectral index (\(\kappa \)) and velocity of IAWs on the properties of solitary-wave solutions of KP and mKP equations are also examined. For Maxwellian limit, the system has no superperiodic wave structures in the subsonic region. Numerical computation reveals that the influence of an external perturbation results in existence of only quasiperiodic orbits for the system corresponding to the KP equation whereas various coexisting orbits exist for the system analogous to the mKP equation.

在包含离子和两温电子的磁化极光区等离子体中探索了离子声波（IAW）的动力学行为。利用还原摄动技术（RPT），推导了Kadomtsev–Petviashvili（KP）和改进的KP（mKP）方程。通过考虑极光带的一组典型参数，分析了无扰动和扰动动力系统的所有可能相位图。提出了与无扰动系统的不同相轨迹相对应的数值和解析波解。频谱索引的有效性（\（\ kappa \））和IAW的速度对KP和mKP方程的孤波解的性质也进行了检查。对于麦克斯韦极限，系统在亚音速区域没有超周期波结构。数值计算表明，外部扰动的影响导致与KP方程相对应的系统仅存在准周期轨道，而与mKP方程类似的系统存在多种共存轨道。