Akademik Veri Yönetim Sistemi
Optik, cilt.351, 2026 (Scopus)
In this study, the highly dispersive perturbed nonlinear Schrödinger equation is considered within the framework of Kudryashov’s arbitrary form and under the generalized nonlocal nonlinearity effects of the sextic power law of the refractive index. The model is formulated to include physically significant nonlocal contributions along with higher-order dispersion terms. The Kudryashov method is systematically applied to the proposed model. As a result of the method’s effectiveness, various closed-form analytic soliton solutions are obtained for the model. These include kink, anti-kink, dark, and degenerate dark type soliton solutions. The conditions for the existence of these solutions are detailed based on the relationships between dispersion, sextic power law nonlinearity, and nonlocal parameters. The results obtained contribute to the understanding of complex wave propagation processes encountered in fields such as high-order nonlinear optical media, plasma, and condensed matter physics. The study makes a significant contribution to the literature by presenting novel and original analytical soliton solutions for perturbed nonlinear Schrödinger equations under refractive index and generalized nonlocal effects with sextic power law.