Integrability, Darboux Transformation, and Symmetry Analysis of Deformed Variant Boussinesq System

Key Points

• This analysis shows the integrability of deformed variant Boussinesq systems, enhancing our understanding of nonlinear dynamics.
• Key metrics demonstrate that Darboux transformations can simplify complex systems, revealing underlying symmetries.
• Using symmetry analysis, this study explores the behavior and properties of nonlinear systems in depth.
• These insights highlight the importance of symmetry and integrability in advancing mathematical physics and applied mathematics.