We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index, which describes the propagation of pulses of various types in optical fiber. We apply three efficient and reliable schemes, specifically, the simple equation method, the (G'/G)-expansion method, and the new Kudryashov method. These approaches lead to a range of solitons and other solutions comprising of the bright solitons, dark solitons, singular solitons, periodic, rational, and exponential solutions. These solutions are also presented graphically. Furthermore, all obtained solutions are verified by symbolic computations.

中文翻译：

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具有 Kudryashov 折射率定律的扰动非线性 Biswas-Milovic 方程的孤子和其他解

我们使用 Kudryashov 折射率定律分析研究了扰动非线性 Biswas-Milovic 方程的精确孤波解，该定律描述了光纤中各种类型的脉冲的传播。我们应用了三种有效且可靠的方案，特别是简单方程法、(G'/G)-展开法和新的 Kudryashov 法。这些方法导致了一系列孤子和其他解决方案，包括亮孤子、暗孤子、奇异孤子、周期性、有理和指数解决方案。这些解决方案也以图形方式呈现。此外，所有获得的解决方案都通过符号计算进行验证。