Abstract
In this paper, the newly obtained optical analytical solutions of the Lakshmanan–Porsezian–Daniel model with two forms of nonlinearity is investigated. These are Kerr law and parabolic law of nonlinearity. The novel analytical method namely, the modified Khater method is used to achieve the newly derived solutions. The attained solutions are bright, dark, anti-kink, u-shaped periodic cusp wave, singular solution and evolving shape of anti-kink solutions. The analysed characteristics of the reported solutions with different forms of nonlinearity are the most compelling parts of the proposed method. This ensures the efficacy and constructiveness of the method. The novel aspect of this study is the newly achieved solutions that can be used in predicting the performance of the information carrier.
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