Extraction of soliton solutions for the fractional Kaup-Boussinesq system: A comparative study


  • H. Alsaud King Saud University
  • Nauman Raza University of the Punjab, Quaid-e-Azam Campus
  • Saima Arshed University of the Punjab, Quaid-e-Azam Campus
  • Asma Rashid Butt University of Engineering and Technology
  • Mustafa Inc Firat University




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


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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How to Cite

H. Alsaud, N. Raza, S. Arshed, A. R. Butt, and M. Inc, “Extraction of soliton solutions for the fractional Kaup-Boussinesq system: A comparative study”, Rev. Mex. Fís., vol. 70, no. 4 Jul-Aug, pp. 041302 1–, Jul. 2024.