A non-linear study of optical solitons for Kaup-Newell equation without four-wave mixing

Nonlinear science is a fundamental science frontier that include studies and the common properties of nonlinear phenomena. This article is devoted to the study of sub-pico second optical pluses in birefringent fibers for Kaup-Newell equation (KNE) without four-wave mixing. Three prominent integrations techniques are successfully implemented on KNE in coupled vector form. Variety of soliton solutions namely dark, bright, periodic singular, singular and bright-singular combo solitons are constructed for the KNE in birefringent fibers. The obtained solutions are reckoned with their respective existence criterion. In addition, two-dimensional and three-dimensional graphs are drawn to exhibit the physical behavior of the obtained solutions. (c) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

This article focuses on the study of sub-picosecond optical pulses in birefringent fibers, exploring the common properties of nonlinear phenomena and the existence criteria for various soliton solutions. The physical behavior of these solutions is visualized through two-dimensional and three-dimensional graphs.