https://doi.org/10.1140/epjp/s13360-025-06729-8
Regular Article
On solutions of the coupled DKP equation
College of Mathematics and Systems Science, Shandong University of Science and Technology, 266590, Qingdao, Shandong, People’s Republic of China
a
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Received:
2
April
2025
Accepted:
4
August
2025
Published online:
25
August
2025
Abstract
The solutions of the coupled D-type Kadomtsev–Petviashvili (cDKP) equation can conduct experiments with more complex interactions than the D-type Kadomtsev–Petviashvili (DKP) equation, according to comparative analysis. This article provides a comprehensive examination of the classical solutions within the cDKP system, encompassing its various reduced forms, notably the complex coupled D-type Korteweg–de Vries (cDKdV) equation and the coupled D-type Boussinesq equation. Furthermore, the study presents a detailed analysis of the asymptotic characteristics and interaction behaviors of these solutions.
Key words: cDKP equation / Complex cDKdV equation / Soliton solution / Coupled D-type Boussinesq equation / Asymptotic behavior
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© 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.
