翻訳と辞書 Words near each other ・ Peake-Jones Rock ・ Peaked cap ・ Peaked Hill ・ Peaked Mountain ・ Peaker ・ PeakFit ・ Peakhurst Bus Company ・ Peakhurst Heights, New South Wales ・ Peakhurst, New South Wales ・ Peakin' at the Beacon ・ Peakin' Trippers ・ Peaking Lights ・ Peaking power plant ・ Peakirk ・ Peakirk railway station ・ Peakon ・ PEAKS ・ Peaks & Valleys ・ Peaks and Valleys ・ Peaks Hill ・ Peaks Ice Arena ・ Peaks Island Land Preserve ・ Peaks Island, Maine ・ Peaks of Otter ・ Peaks of Otter salamander ・ Peaks Parkway ・ Peaks, Valleys, Honky Tonks & Alleys ・ Peaks-Kenny State Park ・ Peakshole Water ・ PeakStream Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Peakon ： ウィキペディア英語版 Peakon In the theory of integrable systems, a peakon ("peaked soliton") is a soliton with discontinuous first derivative; the wave profile is shaped like the graph of the function $e^$. Some examples of non-linear partial differential equations with (multi-)peakon solutions are the Camassa–Holm shallow water wave equation, the Degasperis–Procesi equation and the Fornberg–Whitham equation. Since peakon solutions are only piecewise differentiable, they must be interpreted in a suitable weak sense. The concept was introduced in 1993 by Camassa and Holm in the short but much cited paper where they derived their shallow water equation. Peakon is also a village which beside Mobberley and also twinned with Pickford〔Camassa & Holm 1993〕 == A family of equations with peakon solutions == The primary example of a PDE which supports peakon solutions is :$$ u_t - u_ + (b+1) u u_x = b u_x u_ + u u_, \, where $u(x,t)$ is the unknown function, and ''b'' is a parameter.〔Degasperis, Holm & Hone 2002〕 In terms of the auxiliary function $m(x,t)$ defined by the relation $m\; =\; u-u\_$, the equation takes the simpler form :$$ m_t + m_x u + b m u_x = 0. \, This equation is integrable for exactly two values of ''b'', namely ''b'' = 2 (the Camassa–Holm equation) and ''b'' = 3 (the Degasperis–Procesi equation). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Peakon」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.