OPTICAL SOLITONS FOR THE DISPERSIVE CONCATENATION MODEL WITH KERR LAW OF SELF–PHASE MODULATION BY LIE SYMMETRY

This study delves into the realm of new optical solitons within the framework of the dispersive concatenation model, specifically focusing on Kerr law self-phase modulation. The research employs Lie Symmetry Analysis to transform the complex governing equations into ordinary differential equations (ODEs). These ODEs are then tackled using two distinct methodologies: the F-expansion method and a novel generalized method. Through these approaches, a broad spectrum of soliton solutions is successfully derived, showcasing the robustness and effectiveness of the proposed techniques. Additionally, the physical interpretations of these solutions are illustrated via 3D profile plots, offering profound insights into the intricate behavior of the solitons.