Math. Model. Nat. Phenom.
Volume 17, 2022
|Number of page(s)||15|
|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,
321004, PR China.
* Corresponding author: firstname.lastname@example.org
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
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