Dark and singular cubic–quartic optical solitons with Lakshmanan–Porsezian–Daniel equation by the improved Adomian decomposition scheme

We employ an enhanced version of a decomposition technique, an improved Adomian decomposition method, and confirm computationally its high accuracy for a number of dark and singular cubic–quartic optical solitons which arise from the Lakshmanan–Porsezian–Daniel equation. The overall recurrent scheme applied for the governing model is elucidated and further scrutinized with regard to the optical solitons mentioned above. The computational results are promising and reveal a remarkably high level of precision. Tables of the absolute errors and illustrating plots are provided to augment the main findings of our comparative study.