Cubic-quartic optical solitons for Lakshmanan-Porsezian-Daniel equation by the improved Adomian decomposition scheme

摘要: We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–quartic nonlinearity. A highly efficient improved Adomian decomposition approach is employed when deriving a generalized numerical scheme. Our numerical results reveal perfect agreement with the analytical optical solutions known from the literature. In other words, our method provides an astonishing level of accuracy and reliability.