Different forms of optical soliton solutions to the Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity

In this paper, the exact soliton solutions and other exact solutions for nonlinear Schrodinger’s equation having Kudryashov’s quintuple power law of refractive index together with dual form of generalized nonlocal nonlinearity are studied. By noticing that the system is a non-integrable one, the diverse of solitary wave solutions by using a generalized trial equation scheme are reached. In particular, four forms of the solution functions including soliton, bright soliton, singular soliton, and periodic wave solutions are investigated. To achieve this, an illustrative example of the Schrodinger’s equation to demonstrate the feasibility and reliability of the used procedure in this study is provided. The effect of the free parameters on the behavior a few obtained solutions for some nonlinear exact solutions was also analyzed due to the nature of nonlinearities. The dynamic properties of the obtained results are shown and analyzed by some density, two and three-dimensional images. We believe that our results would pave a way for future research generating optical memories based on the optical solitons. The constraint conditions to the existence of constructed solutions are also provided in this article.