中文摘要：

我们在场的经分解在有一个另外的长时期的栅栏的平面等级索引栅栏波导的 nonautonomous 黑暗 solitons 和流氓波浪的一个家庭。其动力学由象山谷，背景和波浪那样的明确的表情描述了中央位置的黑暗 solitons 被调查。我们发现 soliton 的深度和长时期的栅栏有的黑暗在 soliton 的波浪上完成中央位置；获得或损失条款直接影响 soliton 的背景和山谷。为流氓波浪，一个人能由调整长时期的栅栏的参数调制轻紧张的分发，这被报导。另外，有在这特殊波导的不同进化行为的更多的流氓波浪清楚地被表明。

英文摘要：

We analytically present a family of nonautonomous dark solitons and rogue waves in a planar graded-index grating waveguide with an additional long-period grating. The dark solitons whose dynamics described by the explicit expressions such as the valley, background and wave central position are investigated. We find that dark soliton＇s depth and the long-period grating have effects on soliton＇s wave central position; the gain or loss term affects directly both the background and valley of the soliton. For rogue waves, it is reported that one can modulate the distribution of the light intensity by adjusting the parameters of the long-period grating. Additionally, more rogue waves with different evolution behaviors in this special waveguide are demonstrated clearly.