Abstract

In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.

中文翻译：

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基于李对称分析的具有库德里亚索夫方程的光孤子

摘要

在这项工作中，利用李对称分析研究了Kudryashov方程，该方程用于描述光纤中的传播脉冲。将该方程转换为具有相似变换的常微分方程组。这些让位于模型的明亮，黑暗和奇异的孤子解决方案。