This article investigates the optical soliton to Lakshmanan–Porsezian–Daniel (LPD) model in birefringent fibers which incorporates two vector solitons. The optical solitons in the forms of bright, dark, singular, as well as combined form bright-dark, dark-singular, complex soliton and multiple soliton solutions are extracted successfully by the mechanism of Fan-extended sub equation approach with the effect of five free parameters. Furthermore, singular periodic wave solutions are obtained, as well as the constraint requirements for the existence of soliton solutions. The results suggest that the method is simple, direct, and effective, and that it may be applied to more complex phenomena with the help of symbolic calculations.

本文研究了包含两个矢量孤子的双折射光纤中的光学孤子到 Lakshmanan-Porsezian-Daniel (LPD) 模型。利用Fan-extended sub equations方法的机理，成功提取了亮、暗、奇异以及组合形式的亮暗、暗奇异、复孤子和多孤子解的光学孤子，具有5个效应。自由参数。此外，还得到了奇异周期波解，以及孤子解存在的约束条件。结果表明，该方法简单、直接、有效，在符号计算的帮助下可以应用于更复杂的现象。