We investigate the propagation characteristics of electrostatic waves in amagnetized pair-ion plasma with immobile charged dusts. It is shown thatobliquely propagating (OP) low-frequency (in comparison with the negative-ioncyclotron frequency) long-wavelength "slow" and "fast" modes can propagate,respectively, as dust ion-acoustic (DIA) and dust ion-cyclotron (DIC)-likewaves. The properties of these modes are studied with the effects ofobliqueness of propagation $(\theta)$, the static magnetic field, the ratios ofthe negative to positive ion masses $(m)$ and temperatures $(T)$ as well as thedust to negative-ion number density ratio $(\delta)$. Using the standardreductive perturbation technique, we derive a Korteweg-de Vries (KdV) equationwhich governs the evolution of small-amplitude OP DIA waves. It is found thatthe KdV equation admits only rarefactive solitons in plasmas with $m$ wellbelow its critical value $m_c~(\gg1)$ which typically depends on $T$ and$\delta$. It is shown that the nonlinear coefficient of the KdV equationvanishes at $m=m_c$, i.e., for plasmas with much heavier negative ions, and theevolution of the DIA waves is then described by a modified KdV (mKdV) equation.The latter is shown to have only compressive soliton solution. The propertiesof both the KdV and mKdV solitons are studied with the system parameters asabove, and possible applications of our results to laboratory and space plasmasare briefly discussed.
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机译：我们研究了带固定电荷的粉尘在磁化离子对等离子体中静电波的传播特性。结果表明，斜传播（OP）的低频（与负离子回旋加速器频率相比）长波“慢”和“快”模式可以分别传播，如粉尘离子声（DIA）和粉尘离子回旋加速器（DIC）类的波。通过传播斜率$（\ theta）$，静磁场，负离子质量与正离子质量的比率$（m）$和温度$（T）$以及除尘温度的影响研究了这些模式的特性。负离子数密度比$（\ delta）$。使用标准的还原摄动技术，我们得出了控制小振幅OP DIA波的演化的Korteweg-de Vries（KdV）方程。发现KdV方程仅允许等离子体中$ m $的稀疏孤子低于其临界值$ m_c〜（\ gg1）$，该临界值通常取决于$ T $和$ \ delta $。结果表明，KdV方程的非线性系数在$ m = m_c $处消失，即对于负离子很多的等离子体，然后用修正的KdV（mKdV）方程描述DIA波的演化。仅具有压缩孤子解。用上述系统参数研究了KdV和mKdV孤子的性质，并简要讨论了我们的结果在实验室和空间等离子体中的可能应用。
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