In this paper, the Lakshmanan–Porsezian–Daniel (LPD) model is investigated for optical solitons. Abundant exact solitary wave solutions of the LPD model are extracted using the modified auxiliary equation method (MAE). The proposed model is investigated for Kerr law of nonlinearity. The MAE method provides the solutions in the form of hyperbolic, trigonometric and rational functions. The 3D plots and 2D contours are presented for physical demonstration of retrieved the solutions.

中文翻译：

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Lakshmanan-Porsezian-Daniel模型的丰富光学孤子的修正辅助方程方法

在本文中，Lakshmanan-Porsezian-Daniel (LPD) 模型研究了光学孤子。使用修正的辅助方程方法 (MAE) 提取 LPD 模型的大量精确孤立波解。对所提出的模型进行了非线性克尔定律的研究。MAE 方法以双曲函数、三角函数和有理函数的形式提供解。3D 绘图和 2D 轮廓用于物理演示检索到的解决方案。