Retrieval of optical solitons for nonlinear models with Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity

This paper focuses on the use of the Sardar sub-equation method to obtain optical solitons for a nonlinear model that incorporates Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity. The model studies the propagation of pulses in optical fibers and the proposed technique is used to investigate various types of solitons including bright, dark, singular, periodic, combined dark-bright, and combined dark-singular solitons. The proposed technique is highly efficient and can also be utilized to solve higher-order nonlinear partial differential equations in fields such as fluid mechanics, plasma physics, and fiber optics. The paper includes a comparative analysis of the model and presents graphical representations for some of the obtained solutions.