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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 compacton ： ウィキペディア英語版 compacton In the theory of integrable systems, a compacton, introduced in , is a soliton with compact support. An example of an equation with compacton solutions is the generalization :$u\_t+(u^m)\_x+(u^n)\_=0\backslash ,$ of the Korteweg–de Vries equation (KdV equation) with ''m'', ''n'' > 1. The case with ''m'' = ''n'' is the Rosenau–Hyman equation as used in their 1993 study; the case ''m'' = 2, ''n'' = 1 is essentially the KdV equation. ==Example== The equation :$u\_t+(u^2)\_x+(u^2)\_=0\; \backslash ,$ has a travelling wave solution given by :$u(x,t)\; =\; \backslash begin$ \dfrac\cos^2((x-\lambda t)/4) & \text|x - \lambda t| \le 2\pi, \\ \\ 0 & \text|x - \lambda t| \ge 2\pi. \end This has compact support in ''x'', so is a compacton. 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「compacton」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.