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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fifth-order Korteweg–de Vries equation ： ウィキペディア英語版 Fifth-order Korteweg–de Vries equation A fifth-order Korteweg–de Vries (KdV) equation is a nonlinear partial differential equation in 1+1 dimensions related to the Korteweg–de Vries equation.〔Andrei D. Polyanin, Valentin F. Zaitsev, HANDBOOK of NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, SECOND EDITION p 1034, CRC PRESS〕 Fifth order KdV equations may be used to model dispersive phenomena such as plasma waves when the third-order contributions are small. The term may refer to equations of the form : $u\_+\backslash alpha\; u\_+\backslash beta\; u\_\; =\; \backslash frac\; f(u,\; u\_,\; u\_)$ where $f$ is a smooth function and $\backslash alpha$ and $\backslash beta$ are real with $\backslash beta\; \backslash neq\; 0$. Unlike the KdV system, it is not integrable. It admits a great variety of soliton solutions.〔(【引用サイトリンク】 title=Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework )〕 ==References== 〔 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「Fifth-order Korteweg–de Vries equation」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.