https://doi.org/10.1140/epjp/s13360-025-06744-9
Regular Article
Darboux transformation and novel solutions for the coupled modified complex short pulse equation
Department of Mathematics, China University of Mining and Technology, 100083, Beijing, China
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
9
September
2024
Accepted:
9
August
2025
Published online:
28
August
2025
Abstract
By means of a reciprocal transformation, we link the coupled modified complex short pulse (CMCSP) equation to the two-component complex coupled integrable dispersionless (CID) equation. Starting with a general spectral problem, we then work out a Darboux transformation for the two-component complex CID equation by proper reductions. Inverting the reciprocal transformation allows us to derive a Darboux transformation and present a solution formula for the CMCSP equation. As applications, we construct certain novel solutions, such as the regular rogue wave solution, loop rogue wave solution, breathers and the solutions describing their various interactions.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
