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

• H. Alsaud ^[1] ; N. Raza ^[2] ; S. Arshed ^[2] ; A.Rashid Butt ^[4] ; M. Inc ^[3]
  1. [1] King Saud University

     King Saud University

     Arabia Saudí

     
  2. [2] University of the Punjab

     University of the Punjab

     Pakistán

     
  3. [3] Fırat University

     Fırat University

     Turquía

     
  4. [4] University of Engineering and Technology, Lahore, Pakistan

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 70, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • 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 improvedtan (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 o fsome of the obtained solutions to discuss the fractional effects.