Higher Order Approximation in the Reductive Perturbation Method. III. : The Weakly Dissipative System
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概要
- 論文の詳細を見る
A general weakly dissipative nonlinear system of equations is approximated bythe generalized Burgers equation, which is the Burgers equation plus a series ofthe spatial derivative of the density of the Burgers equation multiplied by aconstant coefficient. The generalized Btu'gers equation is completely integrable,moreover, the constant coefficients can be determined by the linear dispersionrelation of the original system so that the generalized Burgers equation givesthe correct shock-velocity, that is, the renormalization of the shock-velocity;as the result the secular terms appearing in the higher order approximations tothe shock-solution are eliminated successively.
- 社団法人日本物理学会の論文
- 1979-11-15
著者
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Taniuti Tosiya
Department Of Engineering Natural Science-mathematics Chubu University
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Taniuti Toshiya
Department Of Physics Nagoya University
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KODAMA Yuji
Department of Mathematics,Clarkson College of Technology
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Kodama Yuji
Department Of Mathematics Clarkson College Of Technology
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Kodama Yuji
Department Of Electrical Engineering Faculty Of Engineering Science Osaka University
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