https://doi.org/10.1140/epjp/s13360-022-03080-0
Regular Article
Hybrid rogue wave and breather solutions for a complex mKdV equation in few-cycle ultra-short pulse optics
1
School of Mathematics and Statistics, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
2
School of Computer Science and Engineering, Beijing Technology and Business University, 100048, Beijing, People’s Republic of China
Received:
7
February
2022
Accepted:
17
July
2022
Published online:
26
July
2022
We report exotic hybrid rogue wave and breather solutions for a complex mKdV equation describing soliton dynamics in few-cycle ultra-short pulse optics. Starting from the Lax pair, the higher-order Darboux transformations for the equation are constructed. Then, a series of theorems to compute the hybrid rogue wave and breather solutions are constructed and proved. We also demonstrate the interaction features between rogue waves and breathers by controlling parameters. These results are of importance to understand nonlinear wave dynamics in optics.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
