Non-local symmetries, consistent Riccati expansion solvability and analytic solutions for the generalised Broer–Kaup system
SONG-HUA HU DE-QUAN LIU YU YE GUAN LI
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The non-local symmetries for the generalized Broer–Kaup (BK) system are obtained with the truncated Painlevé expansion method. The non-local symmetries can be localized 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.
SONG-HUA HU1 DE-QUAN LIU1 YU YE1 GUAN LI1
Volume 97, 2023
Continuous Article Publishing mode
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