@inproceedings{337b921c2d0d4de98676a7d9325b1cf4,
title = "Method for Solving Systems of Differential Equations with Application in Nonlinear Optics",
abstract = "The present paper focuses on a specific method for solving systems of differential equations with application in nonlinear optics. The basic system is presented by two coupled nonlinear differential equations, written in dimensionless form, which govern the propagation of light pulses in optical fibers. The mathematical algorithm is described in detail in the article. The system is analytically solved. The obtained solutions of the equations are in the form of special functions - Jacobi elliptic delta function. They determine the periodical energy exchange between light pulses. The mathematical method can be applied for pulses with arbitrary initial intensities, generalized phase and wave number mismatch.",
author = "Aneliya Dakova and Diana Dakova and Zara Kasapeteva and Anjan Biswas and Valeri Slavchev and Lubomir Kovachev",
note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; 47th International Conference on Applications of Mathematics in Engineering and Economics, AMEE 2021 ; Conference date: 07-06-2021 Through 13-06-2021",
year = "2022",
month = sep,
day = "6",
doi = "10.1063/5.0100693",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Vesela Pasheva and Nedyu Popivanov and George Venkov",
booktitle = "Applications of Mathematics in Engineering and Economics, AMEE 2021",
}