Extraction of soliton solutions for the fractional Kaup-Boussinesq system: A comparative study
DOI:
https://doi.org/10.31349/RevMexFis.70.041302Keywords:
Integrating schemes; unified method; GPREM; improved tan (φ(ζ)/2)-expansion; β-derivative; truncated M-fractional derivativeAbstract
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.
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