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Fundamental solutions to the stochastic perturbed nonlinear Schrödinger’s equation via gamma distribution
Results in Physics ( IF 5.3 ) Pub Date : 2021-05-08 , DOI: 10.1016/j.rinp.2021.104249
Yousef F. Alharbi , M.A. Sohaly , Mahmoud A.E. Abdelrahman

We introduce a new stochastic robust solver to solve several classes of nonlinear stochastic partial differential equations (NSPDEs). This solver presents the closed formula for the stochastic solutions. In this regard, this solver is developed to accurately present the complete wave structure of the NSPDEs. To verify this solver, an application is given. The acquired stochastic solutions may be applicable for some new observations in superfluid, new physics, engineering and biology. The theoretical study shows that the proposed solver is sturdy and efficacious. The obtained stochastic optical soliton solutions are presented graphically to clarify their physical parameters. Moreover, the constraint conditions are utilized to verify the existence solutions. In the view of the characterization for the behavior of random solutions utilizing their statistical features, the expectation and variance values of these solutions are considered.



中文翻译:

基于伽玛分布的随机摄动非线性薛定ding方程的基本解

我们引入了一种新的随机鲁棒求解器来求解几类非线性随机偏微分方程(NSPDE)。该求解器给出了随机解的封闭公式。在这方面,开发了该求解器以准确显示NSPDE的完整波结构。为了验证该求解器,给出了一个应用程序。所获得的随机解可能适用于超流体,新物理学,工程学和生物学中的一些新观察。理论研究表明,所提出的求解器是坚固有效的。图形化显示了获得的随机光学孤子解,以阐明其物理参数。此外,利用约束条件来验证存在解。

更新日期:2021-05-13
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