书目名称 | KdV ’95 | 副标题 | Proceedings of the I | 编辑 | Michiel Hazewinkel,Hans W. Capel,Eduard M. Jager | 视频video | http://file.papertrans.cn/543/542290/542290.mp4 | 图书封面 |  | 描述 | Exactly one hundred years ago, in 1895, G. de Vries, under thesupervision of D. J. Korteweg, defended his thesis on what is nowknown as the Korteweg-de Vries Equation. They published a jointpaper in 1895 in the .Philosophical Magazine., entitled `On thechange of form of long waves advancing in a rectangular canal, and ona new type of long stationary wave‘, and, for the next 60 years or so,no other relevant work seemed to have been done. In the 1960s,however, research on this and related equations exploded. There arenow some 3100 papers in mathematics and physics that contain a mentionof the phrase `Korteweg-de Vries equation‘ in their title orabstract, and there are thousands more in other areas, such asbiology, chemistry, electronics, geology, oceanology, meteorology,etc. And, of course, the KdV equation is only one of what are nowcalled (Liouville) completely integrable systems. The KdV and itsrelatives continually turn up in situations when one wishes toincorporate nonlinear and dispersive effects into wave-type phenomena..This centenary provides a unique occasion to survey as many differentaspects of the KdV and related equations. The KdV equation has depth,subtlety, and a brea | 出版日期 | Conference proceedings 1995 | 关键词 | dynamical systems; ordinary differential equation; wave equation; partial differential equations | 版次 | 1 | doi | https://doi.org/10.1007/978-94-011-0017-5 | isbn_softcover | 978-94-010-4011-2 | isbn_ebook | 978-94-011-0017-5 | copyright | Springer Science+Business Media Dordrecht 1995 |
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