中文摘要：

目的考察格林关于水波的工作及其影响。方法对原始文献及研究文献进行对比研究和综合分析。结果格林开辟了实际求解长波问题的途径，并给出了孤立波的第一个数学解释。结论格林采用的长波近似方法和渐近分析技术以及只考虑单向波的做法，为19世纪的水波包括孤立波研究提供了可供仿效的模式。

英文摘要：

Aim To examine G. Green＇s two papers on water waves and their influence. Methods Using comprehensive analysis and comparing the original literatures and research materials. Results Green solved long wave problem practically, and gave the first mathematical explanation of solitary waves. Conclusion Green＇s longwave approximation, analysis of the effects of slow variations, and taking account of waves moving in one direction only gave exemplary models in the research of water waves, including solitary waves.