Non-local symmetries, consistent Riccati expansion solvability and analytic solutions for the generalised Broer–Kaup system

The non-local symmetries for the generalised Broer–Kaup (BK) system are obtained with the truncated Painlevé expansion method. The non-local symmetries can be localised to the Lie point symmetries for the extended system by introducing auxiliary dependent variables. The finite symmetry transformatio...

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Bibliographic Details
Published in:Pramāṇa 2022-08, Vol.96 (3), Article 152
Main Authors: Hu, Song-Hua, Liu, De-Quan, Ye, Yu, Li, Guan
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
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Summary:The non-local symmetries for the generalised Broer–Kaup (BK) system are obtained with the truncated Painlevé expansion method. The non-local symmetries can be localised to the Lie point symmetries for the extended system by introducing auxiliary dependent variables. The finite symmetry transformations related to the non-local symmetries are computed. The consistent Riccati expansion and consistent tanh expansion integrability of the generalised BK system are proved, and the single soliton, two-resonant soliton and soliton–cnoidal wave interaction solutions are derived.
ISSN:0973-7111
0973-7111
DOI:10.1007/s12043-022-02408-w