https://doi.org/10.1140/epjp/s13360-025-06215-1
Regular Article
Vector solitons and breathers for a variable-coefficient coherent coupled nonlinear Schrödinger equation
1
State Key Laboratory of New Textile Materials and Advanced Processing Technologies, Wuhan Textile University, 430200, Wuhan, China
2
Research Center of Nonlinear Science, School of Mathematical and Physical Sciences, Wuhan Textile University, 430200, Wuhan, China
Received:
16
January
2025
Accepted:
12
March
2025
Published online:
8
April
2025
In this paper, the variable-coefficient coherent coupled nonlinear Schrödinger system in weak birefringent fibers is investigated analytically. Lax pair and the N-fold potential transformation for the system are constructed. For the complex envelope of two interacting optical modes, exact vector one and two solitons and breathers are derived from the obtained potential transformation. Solitons and breathers with different dynamic properties are explored via adjusting the coefficient of the self-phase modulation and cross-phase modulation. Asymptotic analysis is used to discuss the interactions between two solitons. Two kinds of breathers with their existing conditions are analyzed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
