https://doi.org/10.1140/epjp/s13360-024-05890-w
Regular Article
Conservation laws, vector solitons and breathers of a generalized variable-coefficient N-coupled higher-order nonlinear Schrödinger system from inhomogeneous optical fibers
College of Information and Control Engineering, Qingdao University of Technology, 266520, Qingdao, China
Received:
2
April
2024
Accepted:
29
November
2024
Published online:
26
December
2024
To describe the long-distance communication and manufacturing problems of N fields optical solitons propagating simultaneously in inhomogeneous optical fibers, we study a generalized variable-coefficient N-coupled nonlinear Schrödinger system with higher-order effects, where N is a positive integer. We obtain the infinitely-many conservation laws and the N-Fold Darboux-dressing transformation. Via the N-Fold Darboux-dressing transformation, we give the one-, two- and N-dark-bright soliton solutions, and the first and Nth-order breather solutions. We find that: (1) the coefficients in equation, group velocity, f(z), affects the velocity of soliton; (2) third-order dispersion, c(z), affects the velocity and background of soliton and breather, and (3) self-steepening, d(z), affects the background of breather.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
