Author(s)

Anees Al-Harbi, Waleed Al-Hamdan, Luwai Wazzan

Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

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.

Explicit Scheme, Implicit Scheme, Exact Solutions, Bounded Domain, Stability, One Soliton, Soliton Interaction, Gaussons

Al-Harbi, A. , Al-Hamdan, W. and Wazzan, L. (2022) Numerical Methods for Solving Logarithmic Nonlinear Schrödinger’s Equation. Journal of Applied Mathematics and Physics, 10, 3635-3648. doi: 10.4236/jamp.2022.1012242.