On a mixed cubic-superlinear non radially symmetric Schrödinger system - Part II: Numerical solutions
Year: 2018
Type: preprint
Abstract: In this paper a nonlinear coupled Schrodinger system in the presence of mixed cubic and superlinear power laws is considered. A non standard numerical method is developed to approximate the solutions in higher dimensional case. The idea consists in transforming the continuous system into an algebraic quasi linear dynamical discrete one leading to generalized semi-linear operators. Next, the discrete algebraic system is studied for solvability, stability, convergence and stability. At the final step, numerical examples are provided to illustrate the efficiency of the theoretical results.
Source: arXiv (Cornell University)
Authors: Aljohani, Abdurahman F., Mabrouk, Anouar Ben
Institution: University of Tabuk
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2803742432