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Non-local symmetries, consistent Riccati expansion solvability and analytic solutions for the generalised Broer–Kaup system.
- Source :
-
Pramana: Journal of Physics . Sep2022, Vol. 96 Issue 3, p1-8. 8p. - Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03044289
- Volume :
- 96
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Pramana: Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 158532273
- Full Text :
- https://doi.org/10.1007/s12043-022-02408-w