Numerical Methods for Solving Logarithmic Nonlinear Schrödinger’s Equation  

作　　者：Anees Al-Harbi Waleed Al-Hamdan Luwai Wazzan Anees Al-Harbi;Waleed Al-Hamdan;Luwai Wazzan(Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)

机构地区：[1]Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

出　　处：《Journal of Applied Mathematics and Physics》2022年第12期3635-3648,共14页应用数学与应用物理（英文）

摘　　要：In this study, we will construct numerical techniques for tackling the logarithmic Schrödinger’s nonlinear equation utilizing the explicit scheme and the Crank-Nicolson scheme of the finite difference method. These schemes will be subjected to accuracy and stability tests before being used. Efficacy and robustness of the techniques under consideration will be demonstrated using an exact solution, one-Gausson, as well as conserved quantities. Interaction of two-soliton will be conducted. The numerical findings revealed, the interplay behavior is flexible.In this study, we will construct numerical techniques for tackling the logarithmic Schrödinger’s nonlinear equation utilizing the explicit scheme and the Crank-Nicolson scheme of the finite difference method. These schemes will be subjected to accuracy and stability tests before being used. Efficacy and robustness of the techniques under consideration will be demonstrated using an exact solution, one-Gausson, as well as conserved quantities. Interaction of two-soliton will be conducted. The numerical findings revealed, the interplay behavior is flexible.

关 键 词：Explicit Scheme Implicit Scheme Exact Solutions Bounded Domain Stability One Soliton Soliton Interaction Gaussons 

分 类 号：O17[理学—数学]