The effects of head‐on collision on dust acoustic (DA) solitary and shock waves in dusty plasma are investigated considering positively charged inertial dust, Boltzmann distributed negatively charged heavy ions, positively charged light ions, and superthermal electrons in the plasma system. The nonlinear Korteweg‐de‐Vries (KdV) Burger equations are derived taking the extended Poincaré‐Lighthill‐Kuo method into account to study the characteristic properties of nonlinearity and production of solitary shock due to collisions. The study reveals that the amplitudes and widths of the DA shock waves are decreasing with increasing viscosity, electron to dust density ratio, and dust to ion temperature ratio, while they are increasing due to the presence of superthermal electrons. The nonlinearity of DA waves are enhanced with increasing density ratio of electron to dust and temperature ratio of dust to ion and electron, respectively, but it is reducing with superthermal electrons. The phase shifts of DA solitary waves are found to decrease with rising superthermality of electrons and increase with the density ratio of electron to dust.

中文翻译：

---

粉尘等离子体中粉尘声孤立波和冲击波的非线性相互作用现象

考虑了带正电的惯性粉尘，玻尔兹曼分布了带负电的重离子，带正电的轻离子以及等离子体系统中的过热电子，研究了尘土等离子体中正面碰撞对粉尘声（DA）孤波和冲击波的影响。非线性的Korteweg-de-Vries（KdV）Burger方程是根据扩展的Poincaré-Lighthill-Kuo方法导出的，目的是研究非线性的特征特性以及碰撞产生的孤立激波。研究表明，DA冲击波的振幅和宽度随着粘度，电子与尘埃密度比以及尘埃与离子温度比的增加而减小，而由于过热电子的存在而增加。DA波的非线性分别随着电子与尘埃的密度比增加以及尘埃与离子和电子的温度比增加而增强，但随着过热电子而减小。发现DA孤波的相移随电子超热的升高而减小，并随电子与尘埃的密度比而增大。