Multi-soliton solutions of the Gardner equation (GE) have been obtained using the Hirota’s bilinear formalism and, to the best of our knowledge, have been studied in the context of plasmas for the first time. The results have been used to study the electrostatic waves on the ion time scale in a two-electron temperature (TET) kappa distributed plasma in the light of the data obtained from Saturn’s Magnetosphere. The most important result that has come out of the investigation of multi-soliton solution of GE is that both overtaking and head on interactions may occur owing to the simultaneous presence of quadratic and cubic nonlinearities in the GE. The plasma parameters of the system have been found to influence the spatial scale of interaction. The results of kappa distributed plasma have been compared with the Maxwellian case and the key differences with regard to the parametric regimes for the existence of ion acoustic Gardner solitons and the soliton interaction for the two cases have also been explored in detail.

使用Hirota的双线性形式主义已经获得了Gardner方程（GE）的多孤子解，并且据我们所知，这是首次在等离子体环境下进行的研究。根据从土星磁层获得的数据，该结果已用于研究在双电子温度（TET）κ等离子体中离子时间尺度上的静电波。从GE的多孤子解的研究中得出的最重要结果是，由于GE中同时存在二次和三次非线性，因此可能同时发生超车和正面相互作用。已经发现系统的等离子体参数影响相互作用的空间尺度。