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

• DOI: 10.31349/revmexfis.70.041302
• Publication Date: 2024-07-03T08:56:14Z
• Authors: H. Alsaud; Nauman Raza; Saima Arshed; Asma Rashid Butt; Mustafa Inc

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.