In this work, a systematic study, examining the propagation of periodic and solitary waves along the magnetic field in a cold collision-free plasma, is presented. Employing the quasi-neutral approximation and the conservation of momentum flux and energy flux in the frame co-traveling with the wave, the exact analytical solution of the stationary solitary pulse is found analytically in terms of particle densities, parallel and transverse velocities, as well as transverse magnetic fields. Subsequently, this solution is generalized in the form of periodic waveforms represented by cnoidal-type waves. These considerations are fully analytical in the case where the total angular momentum flux L , due to the ion and electron motion together with the contribution due to the Maxwell stresses, vanishes. A graphical representation of all associated fields is also provided.

中文翻译：

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无碰撞等离子体中周期波列沿磁场的传播

在这项工作中，进行了系统的研究，研究了在无碰撞冷等离子体中沿磁场传播的周期波和孤波。利用准中性近似以及与波共同行进的框架中动量通量和能量通量的守恒，还可以从粒子密度，平行和横向速度方面解析地找到固定孤立脉冲的精确解析解。作为横向磁场。随后，该解决方案以由弦形波表示的周期性波形的形式推广。在离子和电子运动引起的总角动量通量L以及麦克斯韦应力引起的影响消失的情况下，这些考虑是完全可以分析的。