https://doi.org/10.1140/epjp/s13360-023-04116-9
Regular Article
Higher-order breathers and breather interactions for the AB system in fluids
1
School of Computer Science and Engineering, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
2
Academy of Systems Science, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
3
School of Mathematics and Statistics, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
Received:
21
January
2023
Accepted:
17
May
2023
Published online:
29
May
2023
In this paper, we perform a systematical study on the breathers of the AB system in fluids. The expressions of the first- to third-order breather solutions are explicitly computed through applying the Darboux transformation method to the system. Some new and interesting features for the breathers are found out as follows. Firstly, in addition to the general breathers, Ak-breathers and Ma-breathers are observed. Further, the corresponding spectrum parameter constrains to form the three breathers are given. Secondly, the dependent variables A and B in the system possess a few of novel spatio-temporal patterns for the periodical wave packets which form the breathers: two-petals, three-petals and four-petals. Thirdly, the interactions between two- or multiple-breathers are elastic. Lastly, there are rich interaction patterns, such as, Ak-breathers and Ma-breather cross vertically, breathers parallel with the same speed.
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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.
