GENERALIZATION OF THE METHOD OF FULL APPROXIMATION AND ITS APPLICATIONS  

作　　者：戴世强 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai

出　　处：《Applied Mathematics and Mechanics(English Edition)》1991年第3期255-264,共10页应用数学和力学（英文版）

基　　金：Project Supported by National Natural Science Foundation of China;Municipal Natural Science Foundation of Shanghai

摘　　要：This paper presents a generalized form of the method of full approximation. By using the concept of asymptotic linearization and making the coordinate transformations including the nonlinear functionals of dependent variables, the original nonlinear problems are linearized and their higher-order solutions are given in terms of the first-term asymptotic solutions and corresponding transformations. The analysis of a model equation and some problems of weakly nonlinear oscillations and waves with the generalized method shows that it is effective and straightforward.This paper presents a generalized form of the method of full approximation. By using the concept of asymptotic linearization and making the coordinate transformations including the nonlinear functionals of dependent variables, the original nonlinear problems are linearized and their higher-order solutions are given in terms of the first-term asymptotic solutions and corresponding transformations. The analysis of a model equation and some problems of weakly nonlinear oscillations and waves with the generalized method shows that it is effective and straightforward.

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分 类 号：O3，O1[理学—力学]