AI 中文总结
研究双折射光纤中平面波背景下的多峰-多谷孤子族，用达布变换法获精确解并分类，扩展到任意结构。数值模拟证实在弱白噪声下稳健，分析拓扑结构有新特征，丰富了对非线性波拓扑相的理解。
AI 中文摘要
我们在由双组分Fokas-Lenells方程描述的双折射光纤中的平面波背景上获得了一族多峰-多谷孤子（MHMVSs），其精确解通过达布变换方法导出。通过相图对基本解进行了系统分类，并识别出高阶构型。该构造扩展到具有任意MHMV结构的孤子，这是一类在双组分可积系统中以前未报道过的解。数值模拟证实了这些解在弱白噪声下的稳健性。此外，对其拓扑结构的分析表明，虚拟单极场由复平面中MHMVSs的强度零点和极点同等确定，这一特征在以前的非线性波拓扑相研究中未被认识到。这些发现揭示了平面波背景下一个以前未知的孤子族以及双组分框架内独特的拓扑特征，从而丰富了对非线性波拓扑相的更广泛理解。
英文摘要
We obtain a family of multihump-multivalley solitons (MHMVSs) on a plane-wave background in birefringent optical fibers governed by the two-component Fokas-Lenells equations, with exact solutions derived via the Darboux transformation method. The fundamental solutions are systematically classified through their phase diagrams, and higher-order configurations are identified as well. Notably, the construction extends to solitons with arbitrary MHMV structures, a class of solutions previously unreported in two-component integrable systems. Numerical simulations confirm the robustness of these solutions under weak white noise. Furthermore, analysis of their topological structure reveals that the virtual monopole field is determined equally by the intensity zeros and poles of MHMVSs in the complex plane, a feature that has remained unrecognized in previous studies of nonlinear wave topological phases. These findings reveal a previously unknown soliton family on a plane-wave background along with a distinct topological feature within the two-component framework, thereby enriching the broader understanding of topological phases of nonlinear waves.
Comments13 pages,7 figures, 1 table
