Issue |
Math. Model. Nat. Phenom.
Volume 17, 2022
|
|
---|---|---|
Article Number | 4 | |
Number of page(s) | 15 | |
DOI | https://doi.org/10.1051/mmnp/2022006 | |
Published online | 17 February 2022 |
Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation
Department of Mathematics, Zhejiang Normal University,
Jinhua
321004, PR China.
* Corresponding author: zy2836@163.com
Received:
26
August
2021
Accepted:
28
January
2022
We explore the Darboux-dressing transformation of the coupled complex modified Korteweg-de Vries equation. Next, with the aid of an asymptotic expansion theory, we derive the concrete forms of three types of semi-rational solutions. In particular, the seed solution is related to the normalized distance and retarded time. Interestingly, we construct a kind of novel rogue wave called as curve rogue wave. More importantly, the kinetics of semi-rational solutions are discussed in detail. We hope that these results would shed more light on comprehending of the solutions occurring in multi-component coupled systems.
Mathematics Subject Classification: 35Q51 / 37K40 / 74H05
Key words: Coupled complex modified Korteweg-de Vries equation / Darboux-dressing transformation / semi-rational solutions
© The authors. Published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.