In this article, abundant optical soliton solutions of the Biswas–Milovic equation with Kudryashov’s law and nonlinear perturbation terms in polarization preserving fibers is constructed by employing two improved analytical schemes, namely, the improved Sardar sub-equation method (IMSSEM) and the improved generalized Riccati equation mapping method (IGREMM). As a result of these improved approaches, many constraint conditions emerge that are required for the existence of soliton solutions. These solutions are the rational, exponential, trigonometric hyperbolic, and trigonometric which can be classified into the bright soliton, W-shaped soliton, dark soliton, singular soliton, periodic, and the mixed complex soliton. All solutions obtained have been verified using symbolic computations. Moreover, the dynamics of some of the achieved solutions are presented by plotting two and three-dimensional graphs.

在本文中，采用两种改进的解析方案，即改进的 Sardar 子方程方法 (IMSSEM) 和改进的广义方程，构建了具有 Kudryashov 定律和非线性微扰项的 Biswas-Milovic 方程的丰富光学孤子解。 Riccati 方程映射方法 (IGREMM)。作为这些改进方法的结果，出现了孤子解存在所需的许多约束条件。这些解是有理解、指数解、三角双曲线解和三角解，可以分为亮孤子、W形孤子、暗孤子、奇异孤子、周期和混合复孤子。获得的所有解决方案都已使用符号计算进行了验证。而且，