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Your search keyword '"Boulaaras, Salah Mahmoud"' showing total 8 results
Start Over Author "Boulaaras, Salah Mahmoud" Publisher elsevier b.v.
8 results on '"Boulaaras, Salah Mahmoud"'

7. Unveiling optical solitons: Solving two forms of nonlinear Schrödinger equations with unified solver method.

Author

Boulaaras, Salah Mahmoud, Rehman, Hamood Ur, Iqbal, Ifrah, Sallah, Mohammed, and Qayyum, Amna

Subjects
*OPTICAL solitons, *NONLINEAR Schrodinger equation, *SOLITONS, *MATHEMATICAL physics, *APPLIED sciences, *RICCATI equation, *OPTICAL fibers
Abstract

The motivation of this work is to attain optical solitons of the generalized third-order nonlinear Schrödinger equation (NLSE) and the integrable (2+1)-dimensional coupled nonlinear Schrödinger equation (CNLSE). These models have various applications, including ultra-short pulses in optical fibers, making them noteworthy in applied sciences and mathematical physics. To extract the optical solitons of these models, the unified solver method (USM) is applied. The USM is a mathematically modified version of the Riccati equation and its related solutions. A unique advantage of this method is the elimination of the need for a balancing constant, simplifying the analytical process and enhancing the utility of these soliton solutions in practical applications. The obtained solutions include dark, singular, and periodic singular soliton solutions, enriching the understanding of optical solitons. In addition to the analytical solutions, the article also includes graphical representations to visually depict the obtained soliton solutions. These visualizations enhance the understanding and provide a clear picture of how the solitons behave in the given system. [ABSTRACT FROM AUTHOR]

Published
2023
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8. On [formula omitted]-fractal functions and their applications to analyzing the S&P BSE Sensex in India.

Author

Kumar, Anuj, Verma, Shubham Kumar, and Boulaaras, Salah Mahmoud

Subjects
*FUNCTION spaces, *CONTINUOUS functions, *FRACTAL dimensions, *INTERPOLATION
Abstract

Following the seminal work of Barnsley on fractal interpolation, Navascués (2005) defined a class of parametrized continuous functions called α -fractal functions. In this paper, we construct α -fractal functions in the Lebesgue spaces defined with respect to a fractal measure. We also show the existence of these fractal functions in smooth-dimensional spaces. Further, we define some set-valued maps associated with them and study some properties of these maps. Ultimately, we analyze the S&P BSE Sensex in India with the help of α -fractal functions. • Define a class of parametrized continuous functions called as α -fractal functions. • Construction of α -fractal functions in the Lebesgue spaces which are defined with respect to a fractal measure. • Define some set-valued maps associated to α -fractal functions and study some properties of these maps. • Analyze the S&P BSE Sensex in India with the help of α -fractal functions. [ABSTRACT FROM AUTHOR]

Published
2024
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