Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation

Yu Lou¹ ; Yi Zhang¹ ; Rusuo Ye¹

¹ Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China.

Mathematical modelling of natural phenomena, Tome 17 (2022), article no. 4.

Résumé

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.

Détail

DOI : 10.1051/mmnp/2022006

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