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Titlebook: KdV ’95; Proceedings of the I Michiel Hazewinkel,Hans W. Capel,Eduard M. Jager Conference proceedings 1995 Springer Science+Business Media

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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videohttp://file.papertrans.cn/543/542290/542290.mp4
图书封面Titlebook: KdV ’95; Proceedings of the I Michiel Hazewinkel,Hans W. Capel,Eduard M. Jager Conference proceedings 1995 Springer Science+Business Media
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
doihttps://doi.org/10.1007/978-94-011-0017-5
isbn_softcover978-94-010-4011-2
isbn_ebook978-94-011-0017-5
copyrightSpringer Science+Business Media Dordrecht 1995
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Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations Bluman and Cole (.. .. .., . (1969), 1025). The classical Lie method yields symmetry reductions of (1) expressible in terms of the first, third and fifth Painlevé transcendents and Weierstrass elliptic functions. The nonclassical method yields a plethora of exact solutions of (1) with α = . which p
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Conference proceedings 1995V 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
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ms. 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 brea978-94-010-4011-2978-94-011-0017-5
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A. S. FokasOver the last two decades, much progress has been made in understanding how xylem structure relates to plant function. Implications for other timely topics such as drought-induced forest dieback or the regulation of plant biomass production will be discussed.978-3-319-38246-3978-3-319-15783-2
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A. J. Koxfine an assertion language to tailor behavioural equivalences on some specific properties or entities. The SOS approach is suited to drive additional enhancements of RSs along features such as quantitative measurements of entities and communication between RSs. The SOS rules have been also exploited
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Martin D. Kruskal centered around a specification language for I/O behavior we developed in earlier work. The task generation framework, an embedded domain specific language in Haskell, provides powerful primitives for the creation of various artifacts from specifications, including program code. We do not go into d
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