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Research Article | Open Access

Multi-solitons in the model of an inhomogeneous optical fiber

Jinfang Li1, Chunjiang Wang2( ), Li Zhang1, Jian Zhang3
School of Fundamental Education, Beijing Polytechnic College, Beijing 100042, China
V.C. & V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu 610068, China
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
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Abstract

This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients. By spectral analysis for Lax pair of the equation, a corresponding Riemann-Hilbert problem was formulated. By solving the Riemann-Hilbert problem with simple poles, the formula of multi-soliton solutions was derived. Finally, we considered a soliton control system and obtained the one-soliton and two-soliton.

Keywords

nonlinear Schrödinger equationsoliton solutionsRiemann-Hilbert problemsoliton controloptical fibers
CLC number: 35C08, 35Q51, 37K15

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 35645-35654
DOI: 10.3934/math.20241691

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Cite this article:
Li J, Wang C, Zhang L, et al. Multi-solitons in the model of an inhomogeneous optical fiber. AIMS Mathematics, 2024, 9(12): 35645-35654. https://doi.org/10.3934/math.20241691

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Received: 17 October 2024
Revised: 04 December 2024
Accepted: 10 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)