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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 Eckhaus equation ： ウィキペディア英語版 Eckhaus equation In mathematical physics, the Eckhaus equation – or the Kundu–Eckhaus equation – is a nonlinear partial differential equations within the nonlinear Schrödinger class: :$i\; \backslash psi\_t\; +\; \backslash psi\_\; +2\; \backslash left(\; |\backslash psi|^2\; \backslash right)\_x\backslash ,\; \backslash psi\; +\; |\backslash psi|^4\backslash ,\; \backslash psi\; =\; 0.$ The equation was independently introduced by Wiktor Eckhaus and by Anjan Kundu to model the propagation of waves in dispersive media. ==Linearization== The Eckhaus equation can be linearized to the linear Schrödinger equation: :$i\; \backslash varphi\_t\; +\; \backslash varphi\_\; =0,$ through the non-linear transformation: :$\backslash varphi(x,t)\; =\; \backslash psi(x,t)\backslash ,\; \backslash exp\backslash left(\; \backslash int\_^x\; |\backslash psi(x^\backslash prime,t)|^2\backslash ;\; \backslash textx^\backslash prime\; \backslash right).$ The inverse transformation is: :$\backslash psi(x,t)\; =\; \backslash fracx^\backslash prime\; \backslash right)^\}.$ This linearization also implies that the Eckhaus equation is integrable. 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「Eckhaus 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.