The theoretical investigation of shocks and solitary structures in a dense quantum plasma containing electrons at finite temperature, nondegenerate cold electrons, and stationary ions has been carried out. A linear dispersion relation is derived for the corresponding electron acoustic waves. The solitary structures of small nonlinearity have been studied by using the standard reductive perturbation method. We have considered collisions to be absent, and the shocks arise out of viscous force. Furthermore, with the help of a standard reductive perturbation technique, a KdV–Burger equation has been derived and analyzed numerically. Under limiting cases, we have also obtained the KdV solitary profiles and studied the parametric dependence. The results are important in explaining the many phenomena of the laser–plasma interaction of dense plasma showing quantum effects.

中文翻译：

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密集激光产生的费米等离子体中的无碰撞冲击和孤子

已经对包含有限温度下的电子，未退化的冷电子和固定离子的致密量子等离子体中的冲击和孤子结构进行了理论研究。对于相应的电子声波，得出线性色散关系。使用标准的还原摄动法研究了非线性较小的孤立结构。我们认为没有碰撞，并且冲击是由粘性力产生的。此外，借助标准的还原摄动技术，已经导出了KdV-Burger方程并进行了数值分析。在有限的情况下，我们还获得了KdV孤立轮廓并研究了参数依赖性。