Spectrum Method for a General Evolution Equation
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概要
- 論文の詳細を見る
Inverse scattering method is investigated for a general class of evolution equations. A decisive role is played by a transformation operator from the solution of the evolution equation to the eigenfunction for an operator with eigenvalues constant in time. Classes of the evolution equations with the same spectrum problem are presented and a generalization of the Fourier transform method to the nonlinear equation is suggested. The theory is applied to the several evolution equations including the Burgers equation and the vector equation studied by Ablowitz and others.
- 理論物理学刊行会の論文
- 1977-07-25
著者
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Kato Yusuke
Department Of Applied Biological Chemistry Graduate School Of Agricultural And Life Sciences Univers
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Asano Naruyoshi
Department Of Engineering Mathematics Utsunomiya University
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Asano Naruyoshi
Department Of Engineering Mathematics Faculty Of Engineering Utsunomiya University
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Kato Yusuke
Department Of Engineering Mathematics Utsunomiya University
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ASANO Naruyoshi
Laboratory of Applied Mathematics and Mathematical Physics Department of Information Science, Faculty of Engineering University of Utsunomiya
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ASANO Naruyoshi
Department of Information Science, Faculty of Engineering Utsunomiya University
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KATO Yusuke
Department of Engineering Mathematics Faculty of Engineering, Utsunomiya University
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