We obtain the exact two and three soliton solutions for higher order NLS equation with variable coefficients using Darboux transformation method with some algebraic manipulations based on constructed Lax Pair. For the first time, switching characteristics of two and three solitons in the attosecond regime via inelastic soliton interactions are discussed through some graphical illustrations. Additionally, effects of the inhomogeneous coefficients on propagation features of solitons are analyzed graphically. Our results have certain applications in the construction of optical switching and soliton management in optical communication systems.

中文翻译：

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通过非均匀光纤中两个和三个孤子相互作用的阿秒孤子切换

我们使用 Darboux 变换方法和一些基于构造的 Lax Pair 的代数操作，获得了具有可变系数的高阶 NLS 方程的精确的二和三孤子解。首次通过一些图示讨论了阿秒区中两个和三个孤子通过非弹性孤子相互作用的切换特性。此外，图形分析了非均匀系数对孤子传播特征的影响。我们的结果在光通信系统中的光交换和孤子管理的构建中具有一定的应用。