Fredholm Determinant and the Solution of the Korteweg-de Vries Equation : General and Mathematical Physics
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概要
- 論文の詳細を見る
The Marchenko integral equation for the Schrodinger equation on the whole line is analysed in the framework of the Fredholm theory and its solution, the Schrodinger potential, is given in terms of the Fredholm determinant. The evolution of the potential due to the evolution of the scattering data is proved to produce the solution of the Cauchy problem of the Korteweg-de Vries equation for smooth, rapidly decreasing initial value. A similarity law of the solution is presented.
- 理論物理学刊行会の論文
- 1986-10-25
著者
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KATO Yusuke
Department of Chemistry and Chemical Engineering, Niigata University
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Kato Yusuke
Department Of Applied Biological Chemistry Graduate School Of Agricultural And Life Sciences Univers
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Kato Y
Univ. Utsunomiya Utsunomiya
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Kato Yusuke
Department Of Engineering Mathematics Utsunomiya University
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KATO Yusuke
Department of Engineering Mathematics Faculty of Engineering, Utsunomiya University
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