The soliton analysis for optical fibers models. (May 2022)

• Record Type: Journal Article
• Authors: Pinar, Zehra
• Is Part Of: Optics & laser technology. Volume 149(2022)
• Publication Date: 2022-05
• Subjects: Kundu-Mukherjee-Naskar model -- The anti-cubic Schrödinger equation -- Optical solutions -- Analytical methods; Optics -- Periodicals; Lasers -- Periodicals; Electronic journals; 621.366
• DOI: 10.1016/j.optlastec.2022.107849
• Languages: English
• ISSNs: 0030-3992

Abstract

Highlights: The nonlinear Schrödinger's equation with anti-cubic nonlinearity is considered. The Kundu-Mukherjee-Naskar model is considered. The analytical solutions are obtained via Bernoulli approximation method and Hermite approximation method. Abstract: Optical fibers have a major role in the industry and daily life. To simulate the pulse propagation in optical fibers, numerous models are seen in the literature. In this work, the Kundu-Mukherjee-Naskar (KMN) model and the anti-cubic Schrödinger equation are considered. To solve these models, ansatz-based methods are considered and also, the problem about the determination of transformation is replied so that it is not clear in the literature. The results of the proposed models will play a key role in applications in nonlinear optics, fluid dynamics, quantum mechanics and various other branches of science.