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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 Lax pairs ： ウィキペディア英語版 Lax pair In mathematics, in the theory of integrable systems, a Lax pair is a pair of time-dependent matrices or operators that satisfy a corresponding differential equation, called the ''Lax equation''. Lax pairs were introduced by Peter Lax to discuss solitons in continuous media. The inverse scattering transform makes use of the Lax equations to solve such systems. ==Definition== A Lax pair is a pair of matrices or operators $L(t),\; P(t)$ dependent on time and acting on a fixed Hilbert space, and satisfying Lax's equation: :$\backslash frac=()$ where $()=PL-LP$ is the commutator. Often, as in the example below, $P$ depends on $L$ in a prescribed way, so this is a nonlinear equation for $L$ as a function of $t$. 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「Lax pair」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.