Abstract

An unsolved problem in Maxwellian plasmas is delineated as, supernonlinear waves (SNWs) cannot exist in Maxwellian plasmas with less than three components. The criteria to generate SNWs in plasmas are the occurrence of at least two minima separated by at least one maxima in the curve of corresponding potential energy. This research is about the existence of SNWs in a two-component electron-ion plasma with Maxwell distributed electrons. The possible range of Mach number on the existence of SNWs is also reported. Analytical forms of all possible solitary, solitary-cusp and supernonlinear periodic wave solutions are derived. This research lights the existence of SNWs in a two-component Maxwellian plasma, which was unsolved till its inception from 2011.

Graphic abstract

中文翻译：

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两组分麦克斯韦等离子体中超非线性波的一个开放问题

摘要

描绘了麦克斯韦等离子体中的一个未解决的问题，因为在少于三个分量的麦克斯韦等离子体中不能存在超非线性波（SNW）。在血浆中产生SNW的标准是在相应的势能曲线中出现至少两个极小值，并被至少一个极大值分开。这项研究是关于在具有Maxwell分布电子的两组分电子离子等离子体中SNW的存在。还报道了存在SNW时马赫数的可能范围。推导了所有可能的孤立，孤立尖点和超非线性周期波解的解析形式。这项研究点燃了两组分麦克斯韦血浆中SNW的存在，直到2011年它才被解决。

图形摘要