王丽霞.George Green对早期孤立子数学理论的重要贡献[J].数学研究及应用,2007,27(4):971~974 |
George Green对早期孤立子数学理论的重要贡献 |
Some Historic Notes on An Important Early Paper about the Solitary Wave |
投稿时间:2005-12-27 修订日期:2007-01-16 |
DOI:10.3770/j.issn:1000-341X.2007.04.052 |
中文关键词: Green 孤立波 长波 KdV方程. |
英文关键词:G. Green solitary wave long wave KdV equation. |
基金项目:国家自然科学基金 (10371119). |
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中文摘要: |
本文考察George Green 1839年关于孤立波的论文的产生背景、研究方法及影响. Green自身的科学素养、剑桥的 氛围以及罗素的报告促成了他的孤立波研究, 其基本思想和处理方法被19世纪一些重要的孤立波研究者不 同程度继承借鉴, 对孤立波理论研究产生了重要影响. |
英文摘要: |
This paper examines the background, method and influence of G. Green's paper about the solitary wave. It is shown that the paper was generated by Green's ability, Cambridge's atmosphere and Russell's report, and some of his basic ideal and methods were followed by later researchers in the 19th century. |
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