Bifurcation analysis and soliton solutions of the generalized third-order nonlinear Schrödinger equation using two analytical approaches

Key Points

• Soliton solutions are identified in the analysis of the generalized third-order nonlinear Schrödinger equation.
• The study demonstrates the relationship between bifurcation phenomena and wave stability, with potential applications in various fields.
• Bifurcation analysis using two distinct analytical approaches provides a comprehensive understanding of the underlying dynamics.
• Insights gained from this study may enhance wave propagation techniques in complex systems.