Analyzing the generalized integrable (2 + 1)-dimensional nonlinear conformable Schrödinger system via the Kudryashov auxiliary equation method: optical soliton solutions
摘要
This paper focuses on studying soliton solutions for the generalized integrable (2 + 1)-dimensional nonlinear conformable Schrödinger system using the Kudryashov auxiliary equation method. The optical solutions investigated encompass various categories, including dark, mixed dark-bright, multi bell-shaped, bell-shaped, and wave optical solutions. Further, we analyzed the magnitude of the present conformable system of equations by investigating the influence of the conformable parameter and the effect of the time parameter on the novel optical solutions. It is claimed that these optical soliton solutions are innovative and have not been previously documented in the literature. The findings demonstrate the robustness, efficiency, and broad applicability of the proposed method in generating novel solutions for various nonlinear fractional partial differential equations. The results of this study are expected to illuminate the field of soliton theory in nonlinear optics and mathematical physics. This study enhances our understanding of nonlinear processes, with potential applications in real-life phenomena. This highlights the emergence of optical dromions with slow evolution, leading to a traffic signaling effect in optical dromion transmission.