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