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Rogue waves under influence of Raman delay

机译:拉曼延迟影响下的流氓波

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摘要

Rogue waves can appear in optical fibers and other optical systems as well as in natural events like water waves. Their mathematical description is based on partial differential equations that have solutions that are localized both in time and space. One example is the "Peregrine" solution of the nonlinear Schrodinger equation (NLSE). When higher-order terms in the equation are involved, the solution becomes distorted, but its main features remain localized in space and time. Although exact solutions are not obtained in all cases, approximations that describe the solutions with reasonable accuracy do exist. Here, we consider approximate rogue wave solutions of the NLSE with an optically relevant Raman delay term. (c) 2018 Optical Society of America
机译:流氓波可以出现在光纤和其他光学系统中以及水波等自然事件中。 它们的数学描述基于部分微分方程,其具有在时间和空间中定位的解决方案。 一个例子是非线性Schrodinger方程(NLSE)的“Peregrine”解决方案。 当涉及等式中的高阶项时,解决方案变得失真,但其主要特征在空间和时间内保持本地化。 虽然在所有情况下都没有获得确切的解决方案,但是以合理的准确度描述解决方案的近似存在。 在这里,我们考虑具有光学相关的拉曼延迟术语的NLSE的近似流氓波解决方案。 (c)2018年光学学会

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