TITLE:
Numerical Methods for Solving Logarithmic Nonlinear Schrödinger’s Equation
AUTHORS:
Anees Al-Harbi, Waleed Al-Hamdan, Luwai Wazzan
KEYWORDS:
Explicit Scheme, Implicit Scheme, Exact Solutions, Bounded Domain, Stability, One Soliton, Soliton Interaction, Gaussons
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.12,
December
21,
2022
ABSTRACT: 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.