第二章，分别探讨了玻色-爱因斯坦凝聚中暗孤子和亮孤子实验情况和理论研究现状。
In chapter two, we introduce the mod-ern studies and experiments of dark solitons and bright solitons in Bose-Einstein condensates, respectively.
在第一章中，我们简单介绍孤子理论、亮孤子和暗孤子微扰问题的研究进展、现状和主要方法。
In the first chapter, we briefly introduce the research progress, present situation and main methods of soliton theories and perturbation problems of bright and dark solitons.
第三章解析周亮工诗歌作品的思想内容。
The third chapter analyzes Zhou Lianggong the poetry work the ideological content.
第五章我们运用小幅度近似方法求解高阶非线性薛定谔方程，得出了它的亮、暗孤子解。
We solve the higher order nonlinear Schrodinger equation by means of the small amplitude approximate method and present the bright and dark solitons solutions in chapter 5.
第五章我们运用小幅度近似方法求解高阶非线性薛定谔方程，得出了它的亮、暗孤子解。
We solve the higher order nonlinear Schrodinger equation by means of the small amplitude approximate method and present the bright and dark solitons solutions in chapter 5.
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