https://doi.org/10.1140/epjp/s13360-023-04573-2
Regular Article
Solitonic interactions and asymptotic analysis for a pair-transition-coupled nonlinear Schrödinger system in an isotropic optical medium
1
Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China
2
Shen Yuan Honors College, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China
b
gaoyt163@163.com
c
yuxin@buaa.edu.cn
Received:
14
June
2023
Accepted:
30
September
2023
Published online:
11
December
2023
Recently, a pair-transition-coupled nonlinear Schrödinger system, which illustrates the orthogonally-polarized optical waves in an isotropic optical medium, is investigated in this paper. With respect to the slowly-varying envelopes of the two interacting optical modes, asymptotic analysis on the N solitons, double-pole solitons, triple-pole solitons and quadruple-pole solitons are processed, where N is a positive integer. For the N solitons, we obtain the expressions of the 2N line-type asymptotic solitons after some matrix operations. For the double-pole solitons, triple-pole solitons and quadruple-solitons, we obtain some curve-type asymptotic solitons resulting from the balance between the exponential and algebraic terms, and a pair of the line-type asymptotic solitons resulting from the balance between the algebraic terms. Distribution and interaction of the asymptotic solitons are shown, from which we find that the relative distances among the multi-pole solitons grow logarithmically with time. We infer that the even-pole solitons are all comprised of the curve-type asymptotic solitons, while the odd-pole solitons contain a pair of the line-type asymptotic solitons.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
