论文标题
Rogue Wave，KMM系统的交互解决方案
Rogue wave, interaction solutions to the KMM system
论文作者
论文摘要
在本文中，将一致的TANH扩展（CTE）方法和截短的Painlev $ \急性{\ rm E} $分析应用于Kraenkel-Manna-Merle（KMM）系统，该系统描述了Ferromagnets中短波的传播。原始KMM系统的两个分析溶液（没有阻尼效应）是通过CTE方法获得的。交互解决方案包含一个任意函数，该功能提供了多种选择以获取新的传播结构。特别是，获得了呼吸孤子，周期性振荡孤子和多极插入。此外，我们首次获得了阻尼-KMM方程的一些精确溶液。另一方面，由截断的painlev $ \急性{\ rm e} $分析获得了原始KMM系统的耦合方程，并为KMM系统讨论了Rogue Wave解决方案和Rogue Wave和多soliton之间的相互作用解决方案。
In this paper, the consistent tanh expansion (CTE) method and the truncated Painlev$\acute{\rm e}$ analysis are applied to the Kraenkel-Manna-Merle (KMM) system, which describes propagation of short wave in ferromagnets. Two series of analytic solutions of the original KMM system (free of damping effect) are obtained via the CTE method. The interaction solutions contain an arbitrary function, which provides a wide variety of choices to acquire new propagation structures. Particularly, the breather soliton, periodic oscillation soliton and multipole instanton are obtained. Furthermore, we obtain some exact solutions of the damped-KMM equation at the first time. On the other hand, a coupled equation containing quadri-linear form and tri-linear form for the original KMM system is obtained by the truncated Painlev$\acute{\rm e}$ analysis, and the rogue wave solution and interaction solutions between rogue wave and multi-soliton for the KMM system are discussed.
