Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution.

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Title: Quiescent optical solitons in (3+1)- dimensional nonlinear Schrödinger equation in magneto-optic waveguides with Kudryashov's and nonlocal laws nonlinearity having nonlinear chromatic dispersion and generalized temporal evolution.
Authors: Zayed, Elsayed M. E.1 (AUTHOR) eme_zayed@yahoo.com, El-Shater, Mona1 (AUTHOR) mona_el.shater@yahoo.com, Rahman, Hanan M. Abdel2 (AUTHOR) hanan.abdelrhman@hti.edu.eg
Source: Applied Physics A: Materials Science & Processing. Jul2026, Vol. 132 Issue 7, p1-17. 17p.
Abstract: Quiescent optical solitons in a (3+1)-dimensional nonlinear Schrödinger equation governing magneto-optic waveguides are investigated in the presence of Kudryashovs nonlocal law nonlinearity, nonlinear chromatic dispersion, and generalized temporal evolution. By employing the Jacobi elliptic function expansion method and the extended auxiliary equation method, a wide class of exact analytical solutions is constructed. These solutions include bright, dark, singular, with solitary wave profiles recovered as limiting cases of the elliptic modulus. The influence of higher-order dispersion, nonlocal nonlinear response, and magneto-optic coupling on the amplitude, width, and stability of quiescent solitons is analyzed in detail. From the results we obtained, it was found that nonlinear chromatic dispersion and generalized time evolution have an effective role in controlling the localization and diffusion characteristics of solitons. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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