Dynamical analysis, synchronization of chaos, and soliton solutions of a nonlinear (3+1)-dimensional extension of KdV equation with second-order time-derivative

Key Points

• Soliton solutions emerged from the dynamical analysis of the nonlinear KdV equation, indicating potential applications in wave dynamics.
• The synchronization of chaos was achieved, demonstrating complex patterns that could influence various scientific fields.
• Methodological approaches employed included examination of second-order time derivatives and their impact on solution behavior.
• Findings highlight the relevance of dynamical systems in understanding nonlinear wave phenomena and chaotic behavior.