Abstract

The determination of the amplitudes of relativistic mKdV solitons based on specific amount of perturbation is presented for the first time in model of dusty plasma. The extremely high electrons’ streaming speed \({{v}_{{e0}}}\) is shown to enforce resultant relativistic speed of the bulk of plasma which necessitates smaller amount of perturbation to deal with the relativistic situation. Further, the increase in dust charge \({{Z}_{d}}\) is shown to diminish the amplitudes of mKdV solitons (\(\phi _{0}^{'}\)) for both cases of relativistic and non-relativistic solitons. Also, the high relativistic electrons’ streaming is found to serve as booster against small dust charge \({{Z}_{d}}\) to grow the amplitudes of mKdV solitons. On the other hand, higher streaming of the massive ions supplemented by small perturbation appears to dominate the growth of amplitude of mKdV solitons for both the cases.

中文翻译：

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微扰等离子体中产生mKdV孤子的摄动措施的固有研究，具有电子和离子的相对论效应

摘要

在粉尘等离子体模型中，首次提出了基于特定摄动量的相对论mKdV孤子振幅的确定。结果表明，极高的电子流速度\（{{v} _ {{e0}}} \\）可以增强大部分等离子体的相对论速度，从而需要较小的摄动量来处理相对论情况。此外，在两种相对论的情况下，粉尘电荷的增加（{{Z} _ {d}} \）都会减小mKdV孤子（\（\ phi _ {0} ^ {'} \）的幅度和非相对论的孤子。而且，发现高相对论电子的流可以起到抵抗小尘埃电荷的助推器\（{{Z} _ {d}} \）增加mKdV孤子的幅度。另一方面，在两种情况下，较高质量的离子流加上较小的扰动似乎都主导了mKdV孤子的振幅增长。