<p>In this study, we explore the (3+1)-dimensional combined model of the Korteweg-de Vries (KdV) and Calogero-Bogoyavlenskii-Schiff (CBS) equations. The New auxiliary equation technique is used to derive travelling wave solutions, which are then visualised using 2D, 3D, and contour plots to provide a clearer physical understanding. Additionally, we analyse the planar dynamical system by applying bifurcation analysis, quasi-periodic structures and sensitivity analysis. Finally, we conduct a sensitivity analysis using four distinct initial conditions, offering fresh and valuable insights for readers interested in this fascinating model.</p>

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Exploring the (3+1)-dimensional korteweg-de vries and calogero-bogoyavlenskii-schiff combined model: travelling waves, bifurcation analysis, quasi-periodic structures and sensitivity analysis

  • Mohammad Asadullah,
  • Ahmad Javid,
  • Nauman Raza,
  • Younes Chahlaoui,
  • Ahmet Bekir

摘要

In this study, we explore the (3+1)-dimensional combined model of the Korteweg-de Vries (KdV) and Calogero-Bogoyavlenskii-Schiff (CBS) equations. The New auxiliary equation technique is used to derive travelling wave solutions, which are then visualised using 2D, 3D, and contour plots to provide a clearer physical understanding. Additionally, we analyse the planar dynamical system by applying bifurcation analysis, quasi-periodic structures and sensitivity analysis. Finally, we conduct a sensitivity analysis using four distinct initial conditions, offering fresh and valuable insights for readers interested in this fascinating model.