In the current analysis, the conformable generalized Kudryashov equation of pulses propagation with power non-linearity is processed. The considered higher order equation represents a generalized mathematical model of many well-known ones in nonlinear media. A variety of multiple kinks, bi-symmetry, periodic, singular, bright and dark optical solitons are extracted via the generalized Riccati equation mapping method. Basing on the Riccati differential equation, the theoretical algorithm extracts a number of empirical solutions that do not exist in the literature. The obtained results showed that the present technique is an effective and strong tool for solving nonlinear fractional partial differential equations and produces a very large number of solutions.

中文翻译：

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非线性介质中适形广义模型的光孤子构建

在电流分析中，处理了具有功率非线性的脉冲传播的适形广义Kudryashov方程。所考虑的高阶方程代表了非线性介质中许多著名方程的广义数学模型。通过广义Riccati方程映射方法提取各种多重扭结、双对称、周期性、奇异、亮和暗光孤子。该理论算法基于Riccati微分方程，提取了许多文献中不存在的经验解。所获得的结果表明，本技术是求解非线性分数阶偏微分方程的有效且强大的工具，并产生了大量的解。