Dispersive Optical Solitons to Stochastic Resonant NLSE with Both Spatio-Temporal and Inter-Modal Dispersions Having Multiplicative White Noise

Elsayed M. E. Zayed, Mohamed E. M. Alngar () and Reham M. A. Shohib
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Elsayed M. E. Zayed: Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt
Mohamed E. M. Alngar: Basic Science Department, Faculty of Computers and Artificial Intelligence, Modern University for Technology & Information, Cairo 11585, Egypt
Reham M. A. Shohib: Basic Science Department, Higher Institute of Foreign Trade & Management Sciences, New Cairo Academy, Cario 11835, Egypt

Mathematics, 2022, vol. 10, issue 17, 1-18

Abstract: The current article studies optical solitons solutions for the dimensionless form of the stochastic resonant nonlinear Schrödinger equation (NLSE) with both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD) having multiplicative noise in the itô sense. We will discuss seven laws of nonlinearities, namely, the Kerr law, power law, parabolic law, dual-power law, quadratic–cubic law, polynomial law, and triple-power law. The new auxiliary equation method is investigated. We secure the bright, dark, and singular soliton solutions for the model.

Keywords: stochastic; itô calculus; multiplicative noise; solitons (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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