Numerical solution for stochastic mixed nonlinear Schodinger equation

Authors

  • S. Arfaoui University of Monastir, Tunisia
  • A. Ben Mabrouk University of Tabuk, Saudi Arabia
  • C. Souissi University of Sfax, Tunisia

DOI:

https://doi.org/10.31926/but.mif.2025.5.67.2.2

Keywords:

NLS equation, stochastic NLS equation, blow-up, numerical solution, convergence, stability, consistency, white noise

Abstract

In this paper, a numerical study of a mixed nonlinear stochastic Schr¨odinger equation in the case of an additive white noise and with mixed concaveconvex, sub-super nonlinearities is developed. The influence of the stochastic part on the deterministic solutions such as stationary states and blow-up solutions is investigated. Numerical examples are provided with error estimates.

Author Biographies

S. Arfaoui, University of Monastir, Tunisia

Department of Mathematics, Higher Institute of Computer Science and Mathematics, Avenue de la Corniche, Monastir 5000 and Laboratory of Algebra, Number Theory and Nonlinear Analysis, Department of Mathematics, Faculty of Sciences

A. Ben Mabrouk, University of Tabuk, Saudi Arabia

Department of Mathematics, Faculty of Science, King Faisal road, Tabuk 47512;
University of Kairouan, Tunisia
Department of Mathematics, Higher Institute of Applied Mathematics and Computer Science, Street of Assad Ibn Alfourat, Kairouan 3100;
University of Monastir, Tunisia
Laboratory of Algebra, Number Theory and Nonlinear Analysis, Department of Mathematics, Faculty of Sciences, Monastir 5000

C. Souissi, University of Sfax, Tunisia

Department of Mathematics, Faculty of Sciences, Route de la Soukra, Sfax 3000

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Published

2025-06-05

Issue

Vol. 5(67) No. 2 (2025)

Section

MATHEMATICS