我們仔細研讀了這篇由T. Ozawa 和Y. Tsutsumi 兩位學者所發表的論文，論文名為 “The Nonlinear Schrödinger Limit and The Initial Layer of The Zakharov Equations”[18]，並且我們闡述相關細節在本篇報告裡。
在離子速度趨近於無窮大時，札哈洛夫系統裡解的收斂性被討論著。系統下的
解會趨近於所對應到的非線性薛丁格方程的解，而且他們也解釋了初始層現象如何去影響著。也給出了收斂速率 和初始層形成之間的關係刻劃。
在這篇論文裡，我們詳細呈現他們在論文裡所省略的細節、修正一些錯誤，包括在
公式和證明裡所出現的打字與編排錯誤。

We study the paper “The Nonlinear Schrödinger Limit and The Initial Layer of The Zakharov Equations”, by T. Ozawa and Y. Tsutsumi [18], in details and we elaborate the work in this report.
The formation of the convergence of solutions for Zakharov equations as the ion sound speed goes to infinity is discussed. The decay rate of the solutions tending to the
corresponding solutions for the nonlinear Schrödinger equation is given and they explain how the initial layer phenomena occur. A characterization is given of the relation between the convergence rate in and the formation of the initial layers.
We present the details which is skipped in the paper and put in this thesis, we have revised some mistakes, including typos, in some formulas and in the proofs.

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