This research is concerned with some modernistic optical solitons of beta-fractional density-dependent diffusion-reaction model. The collected optical solutions can be executed in exposing this model in a prominent form. The obtained results include the trigonometric, hyperbolic trigonometric, rational and exponential functions. Verification of achieved results is also done by using Mathematica tools. Three distinct techniques named as ${exp}_{a}$ function, extended sinh-Gordon equation expansion (EShGEE) and modified extended $tanh$ function expansion techniques are employed to protect the results. The achieved results are also illustrated by 2-D, 3-D and contour plots. The gained results can also be fruitful for the development of model in future.

Keywords:

PACS: 02.30.Jr, 04.20.Jb, 02.70.−c

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