Resumo

ALSAUD, H. et al. Extraction of soliton solutions for the fractional Kaup-Boussinesq system: A comparative study. Rev. mex. fis. [online]. 2024, vol.70, n.4, e041302.  Epub 12-Set-2025. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.70.041302.

This paper is based on finding soliton solutions to fractional Kaup-Boussinesq (FKB) system. The fractional derivatives such as β-derivative and truncated M-fractional derivative are used in this study. The unified approach, generalized projective riccati equations method (GPREM) and improved tan(ϕ(ζ)/2)-expansion approaches are efficiently used for obtaining bright soliton, dark soliton, singular soliton, periodic soliton, dark-singular combo soliton and dark-bright combo soliton. The numerical simulations are also carried out by 3D and 2D, graphs of some of the obtained solutions to discuss the fractional effects.

Palavras-chave : Integrating schemes; unified method; GPREM; improved tan(ϕ(ζ)/2)-expansion; β-derivative; truncated M-fractional.

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