Nonlinear vortical structures and soliton formation are investigated for electron temperature gradient instability in a two‐electron temperature non‐Maxwellian magnetoplasma. The inhomogeneity in magnetic field is also considered. A new set of nonlinear equations, using transport equations of Braginskii”s model, are formulated to study the nonlinear structures. A modified linear dispersion relation of coupled electron temperature gradient (ETG) mode and electron acoustic wave is derived. The ETG instability is found to increase with increase in η_ec value that increases with sharp density gradients. The results are applied to auroral region of earth's magnetosphere and the calculated values of the nonlinear electric field of fast solitary waves are found to be in agreement with the Viking satellite observations.

中文翻译：

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双电子温度非热磁化等离子体中电子-温度梯度驱动模式和电子声模式的线性和非线性涨落

研究了两电子温度非麦克斯韦磁等离子体中非线性涡旋结构和孤子形成的电子温度梯度不稳定性。还考虑了磁场的不均匀性。利用Braginskii模型的传输方程，制定了一组新的非线性方程，以研究非线性结构。推导了耦合电子温度梯度（ETG）模式和电子声波的修正线性色散关系。ETG的不稳定性发现增加与增加η _EC随陡峭的密度梯度而增加的值。将结果应用于地球磁层的极光区域，发现快速孤立波的非线性电场的计算值与维京卫星的观测结果一致。