To describe the nonlinear propagation of electrostatic drift and ion-acoustic waves (DIAWs), the generalized Hasegawa-Mima equation containing both vector (Jacobian) and scalar (Korteweg-de Vries type) nonlinearities is obtained for electron-positron-ion (EPI) plasmas. In addition, density and temperature non-homogeneities of electrons and positrons are taken into account. Appropriate set of 3D equations consisting of generalized Hasegawa-Mima equation for the electrostatic potential and equation of parallel to magnetic field motion of ions are obtained to describe the formation of coherent dipole and large-scale monopole vortices.

中文翻译：

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通过电子-正电子-离子等离子体中的漂移和离子-声波形成非线性孤立涡结构

为了描述静电漂移和离子声波 (DIAW) 的非线性传播，我们获得了包含矢量（雅可比）和标量（Korteweg-de Vries 型）非线性的广义 Hasegawa-Mima 方程，用于电子 - 正电子 - 离子（EPI）等离子体。此外，还考虑了电子和正电子的密度和温度非均匀性。获得了一组适当的 3D 方程，包括用于静电势的广义 Hasegawa-Mima 方程和平行于离子磁场运动的方程，以描述相干偶极子和大规模单极子涡旋的形成。