Abstract

We develop a nonlinear theory of ion-sound waves in a collisionless warm electron–ion plasma. The theory is based on analysis of the Sagdeev pseudopotential. We consider two (isothermal and adiabatic) models of ion-sound waves. We calculate the dependences of the maximal Mach number for solitons on reduced temperature (nonequilibrium parameter) of the plasma in both models. It is shown that the maximal value of the Mach number cannot exceed the fundamental limit (2.54). We have answered the question concerning the existence of hypersonic ion-sound solitons: hypersonic solitons do not exist.

中文翻译：

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关于高超声速静电孤子的存在（估计温暖等离子体中离子声孤子的有限马赫数）

摘要

我们开发了无碰撞温电子离子等离子体中的离子声波非线性理论。该理论基于对Sagdeev伪势的分析。我们考虑离子声波的两种（等温和绝热）模型。我们在两个模型中都计算了孤子的最大马赫数对等离子体降低的温度（非平衡参数）的依赖性。结果表明，马赫数的最大值不能超过基本极限（2.54）。我们已经回答了有关高超声速离子孤子存在的问题：高超声速孤子不存在。