https://doi.org/10.1140/epjp/s13360-020-01040-0
Regular Article
Asymptotic behaviors of mixed-type vector double-pole solutions for the discrete coupled nonlinear Schrödinger system
1
School of Mathematics and Physics, North China Electric Power University, 102206, Beijing, China
2
College of Science, China University of Petroleum, 102249, Beijing, China
Received:
19
July
2020
Accepted:
22
December
2020
Published online:
8
January
2021
In this paper, we analyze the asymptotic behaviors of mixed-type vector double-pole solutions for the discrete coupled nonlinear Schrödinger system with the focusing-focusing or focusing-defocusing nonlinearities applied in optical waveguide arrays. First of all, based on the bright-bright and bright-dark vector two-soliton solutions given by the Hirota method, we construct the mixed-type vector double-pole solutions via the limit technique. Then, through a modified asymptotic analysis method, we obtain the exact expressions of all asymptotic solitons in the vector double-pole solutions. Further, we investigate the characteristics of soliton interactions in the vector double-pole solutions and find some special properties different from the usual vector two-soliton interactions, like each asymptotic soliton is localized in a curve rather than a line, the interacting bright or dark solitons separate from each other in a logarithmical law and the separation acceleration decreases exponentially with the relative distance.
The original online version of this article was revised: During production of the article unfortunately mistakes have been introduced in equations 36, 37, 55, 56 and in the one on page 17, second last line.
An erratum to this article is available online at https://doi.org/10.1140/epjp/s13360-021-01157-w.
Copyright comment corrected publication 2021
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021. corrected publication 2021
