https://doi.org/10.1140/epjp/s13360-024-05457-9
Regular Article
Localized wave solutions to 
-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation
School of Science, Shanghai Maritime University, 201306, Shanghai, People’s Republic of China
Received:
5
February
2024
Accepted:
14
July
2024
Published online:
1
August
2024
With the help of the bilinear form of the 
dimensional generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt equation, the lump-type solutions, interaction solutions and breather solutions of the equation are obtained. The trajectory, peak and valleys of the lump wave are discussed via theoretical analysis and graphical display. The phenomena of fusion and fission are also observed in the process of interaction between lump wave and one-stripe soliton. In addition, breather solutions are derived through the reduction of soliton solutions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
