Dynamics of quasi-periodic, bifurcation, sensitivity and three-wave solutions for (n + 1)-dimensional generalized Kadomtsev-Petviashvili equation

• DOI: 10.1371/journal.pone.0305094
• Publication Date: 2024-08-27T17:31:41Z
• Authors: Muhammad Hamza Rafiq; Muhammad Bilal Riaz; Ghada Ali Basendwah; Nauman Raza; Muhammad Naveed R...
• Keywords: Nonlinear Dynamics; Science; Q; 0103 physical sciences; R; Medicine; Models, Theoretical; 01 natural sciences; Algorithms; Research Article

This study endeavors to examine the dynamics of generalized Kadomtsev-Petviashvili (gKP) equation in ( n + 1) dimensions. Based on comprehensive three-wave methodology and Hirota’s bilinear technique, gKP is meticulously examined. By means symbolic computation, a number solutions are derived. Applying Lie symmetry approach governing enables determination reduction, which aids reduction dimensionality said equation. Using we obtain second order differential applying The undergoes Galilean transformation system first equations. present presents an analysis bifurcation sensitivity for given dynamical system. Additionally, when external force impacts underlying dynamic system, its behavior resembles quasi-periodic phenomena. presence patterns identified using chaos detecting tools. These findings represent novel contribution studied significantly advance our understanding nonlinear wave models.