We studied the nonlinear evolution of an amplitude-modulated envelop soliton formed in a dense plasma when a laser beam interacts with it. The employment of our newly developed technique, homotopy-assisted symbolic simulation, has been instrumental in the study of the nature and formation of envelope solitons and their dependence on various parameters. The different orders of homotopy perturbation generate a convergent series solution for such nonlinear coupled partial differential equations (PDE). Our technique bypasses the rigorous analytical derivation of coupled PDE without a loss of information. The methodology is very novel and holds promise for application in models that explain experimental observations. The results will be beneficial in interpreting various dense laser plasma interactions.

我们研究了当激光束与其相互作用时在稠密等离子体中形成的调幅包络孤子的非线性演化。我们最新开发的技术，即同位辅助符号模拟技术的使用，在研究包络孤子的性质和形成以及它们对各种参数的依赖性方面起到了重要作用。同构摄动的不同阶数为此类非线性耦合偏微分方程（PDE）生成收敛级数解。我们的技术绕过了耦合PDE的严格分析推导，而不会丢失信息。该方法非常新颖，有望在解释实验观察的模型中应用。该结果将有助于解释各种密集的激光等离子体相互作用。