In this work, we study damped ion acoustic solitary wave structures in magnetized dense plasmas. The collisional effects of ions with electrons and neutrals are considered. The trapping effects of electrons and Landau quantization are included in the plasma model under consideration. We assume that magnetic field is quantized such that the condition ##IMG## [http://ej.iop.org/images/0253-6102/72/8/085503/ctpab8a17ieqn1.gif] {${k}_{B}T\ll {\rm{\hslash }}{\omega }_{{\rm{ce}}}$} is satisfied. We have derived the damped Korteweg–de Vries (dKdV) equation by using small amplitude reductive perturbation technique. The time-dependent analytical and numerical solutions of the dKdV equation are presented. For numerical solutions we apply a two level finite difference scheme with the help of the Runge Kutta method. The effects of variations of different plasma parameters on the propagation characteristics of damped solitary structures in the presence of collisions are...

中文翻译：

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Landau量化对碰撞等离子体中孤立结构的传播的影响

在这项工作中，我们研究了磁化密集等离子体中的阻尼离子声孤立波结构。考虑了离子与电子和中性离子的碰撞作用。在考虑中的等离子体模型中包括了电子的捕获效应和Landau量化。我们假设磁场被量化为使得条件## IMG ## [http://ej.iop.org/images/0253-6102/72/8/085503/ctpab8a17ieqn1.gif] {$ {k} _ { B} T \ ll {\ rm {\ hslash}} {\ omega} _ {{\ rm {ce}}} $}很满意。我们已经通过使用小振幅还原扰动技术推导了阻尼Korteweg-de Vries（dKdV）方程。给出了dKdV方程的时变分析和数值解。对于数值解，我们借助Runge Kutta方法应用了两级有限差分方案。