4 papers
The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
Sabrine Arfaoui, Riadh Chteoui, Anouar Ben Mabrouk
In the present work the well known Farey map is exploited to consruct a new mother wavelet. Properties such as admissibility, moments, 2-scale relation and reconstruction rule have…
Classification of the solutions of a mixed nonlinear Schrodinger system
Riadh Chteoui, Mohamed Lakdar Ben Mohamed, Abdulrahman F. Aljohani +1
In this paper, we study a couple of NLS equations characterized by mixed cubic and superlinear power laws. Classification of the solutions as well as existence and uniqueness of th…
Lyapunov-Sylvester Operators for Numerical Solutions of NLS Equation
Riadh Chteoui, Anouar Ben Mabrouk, Hichem Ounaies
In the present paper a numerical method is developed to approximate the solution of two-dimensional NLS equation in the presence of a singular potential. The method leads to Lyapun…
Lyapunov Computational Method for Two-Dimensional Boussinesq Equation
Anouar Ben Mabrouk, Riadh Chteoui
A numerical method is developed leading to Lyapunov operators to approximate the solution of two-dimensional Boussinesq equation. It consists of an order reduction method and a fin…