https://doi.org/10.1140/epjp/s13360-025-06218-y
Regular Article
Dynamic properties of soliton solutions for the generalized KDKK and BK equations
School of Computer Science, Guangdong University of Foreign Studies, South China Business College, 510545, Guangzhou, China
Received:
10
September
2024
Accepted:
16
March
2025
Published online:
26
March
2025
The purpose of this paper is to study dynamic properties of soliton solutions for the generalized KDKK and BK equations. The bilinear form and N-soliton are obtained using the Hirota bilinear method. Under the condition 
, 
, 
or , the resonant collision between two solitons, three solitons are analyzed in detail, respectively. The X-shaped, double X-shaped, and Y-shaped solitons are obtained. For the complex conjugate parameters, the interaction between a solitary and a breather is discussed via their phase shifts. In particular, the process of the interaction is analyzed, and the phenomena of fusion and fission which have important physical significance are discovered. The asymptotic interaction behavior of these solutions is analyzed theoretically and demonstrated visually by plots.
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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.
