https://doi.org/10.1140/epjp/s13360-025-06347-4
Regular Article
Nonlinear wave investigation for the generalized variable-coefficient Calogero–Bogoyavlenskii–Schiff system
LMIB and School of Mathematics and System Sciences, Beihang University, 100083, Beijing, China
Received:
13
February
2025
Accepted:
19
April
2025
Published online:
24
May
2025
This paper extends the classical Calogero–Bogoyavlenskii–Schiff system into a more generalized model by introducing two additional linear terms and incorporating time-dependent coefficients. The bilinear form is given out by the Hirota bilinear method, and abundant analytic solutions are obtained, including the soliton, lump, and breather solutions. Furthermore, the propagation characteristics of these solutions and the interaction between lump soliton and one stripe soliton are discussed.
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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.
