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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 Davey–Stewartson equation ： ウィキペディア英語版 Davey–Stewartson equation In fluid dynamics, the Davey–Stewartson equation (DSE) was introduced in a paper by to describe the evolution of a three-dimensional wave-packet on water of finite depth. It is a system of partial differential equations for a complex (wave-amplitude) field $u\backslash ,$ and a real (mean-flow) field $\backslash phi\backslash ,$: :$i\; u\_t\; +\; c\_0\; u\_\; +\; u\_\; =\; c\_1\; |u|^2\; u\; +\; c\_2\; u\; \backslash phi\_x,\backslash ,$ :$\backslash phi\_\; +\; c\_3\; \backslash phi\_\; =\; (\; |u|^2\; )\_x.\backslash ,$ The DSE is an example of a soliton equation in 2+1 dimensions. The corresponding Lax representation for it is given in . In 1+1 dimensions the DSE reduces to the nonlinear Schrödinger equation :$i\; u\_t\; +\; u\_\; +\; 2k\; |u|^2\; u\; =0.\backslash ,$ Itself, the DSE is the particular reduction of the Zakharov–Schulman system. On the other hand, the equivalent counterpart of the DSE is the Ishimori equation. The DSE is the result of a multiple-scale analysis of modulated nonlinear surface gravity waves, propagating over a horizontal sea bed. ==See also== * Nonlinear systems * Ishimori 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「Davey–Stewartson 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.