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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 Manakov system ： ウィキペディア英語版 Manakov system Maxwell's Equations, when converted to cylindrical coordinates, and with the boundary conditions for an optical fiber while including birefringence as an effect taken into account, will yield the coupled nonlinear Schrödinger equations. After employing the Inverse scattering transform (a procedure analogous to the Fourier Transform and Laplace Transform) on the resulting equations, the Manakov system is then obtained. The most general form of the Manakov system is as follows: :$v\_\text{'}=-i\backslash ,\backslash xi\backslash ,v\_+q\_\backslash ,v\_+q\_\backslash ,v\_$ :$v\_\text{'}=-q\_^\backslash ,v\_+i\backslash ,\backslash xi\backslash ,v\_$ :$v\_\text{'}=-q\_^\backslash ,v\_+i\backslash ,\backslash xi\backslash ,v\_.$ It is a coupled system of linear ordinary differential equations. The functions $q\_,\; q\_$ represent the envelope of the electromagnetic field as an initial condition. For theoretical purposes, the integral equation version is often very useful. It is as follows: : ==References== *C. Menyuk, ''Application of multiple-length-scale methods to the study of optical fiber transmission'', Journal of Engineering Mathematics 36: 113-136, 1999, Kluwer Academic Publishers, Netherlands. *D. Kaup, B. Malomed, ''Soliton Trapping and Daughter Waves in the Manakov Model'', Physical Review A, Vol. 48, No. 1, July 1993. *S. V. Manakov, ''Remarks on the Integrals of the Euler Equations of the n-dimensional Heavy Top'', Functional Anal. Appl., Vol. 10, pp. 93–94, 1976. 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「Manakov system」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.