An analytical framework for the analysis of multi-hump solitons is proposed in this paper. Multi-hump solitons are defined by imposing special symmetry conditions on the classical soliton expression. Such soliton solutions have a wide range of potential applications in the field of optical communications. The proposed algebras of soliton solutions enable a new look at the propagation dynamics of complex nonlinear wave phenomena. The efficiency of the presented analytical scheme is demonstrated using a system of Riccati differential equations with diffusive and multiplicative coupling.

中文翻译：

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多峰孤子分析的分析方案

本文提出了一种分析多峰孤子的分析框架。多峰孤子是通过对经典孤子表达式施加特殊的对称条件来定义的。这种孤子解决方案在光通信领域具有广泛的潜在应用。所提出的孤子解的代数使我们能够重新审视复杂非线性波现象的传播动力学。使用具有扩散和乘法耦合的 Riccati 微分方程系统证明了所提出的分析方案的效率。