Complete Integrability of General Nonlinear Differential-Difference Equations Solvable by the Inverse Method. II
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概要
- 論文の詳細を見る
General nonlinear differential-difference equations solvable by the inverse method are shown to describe completely integrable Hamiltonian systems. These equations emerge from a couple of linear eigenvalue equations with four potentials ν_<n+1,1>=zν_<n,1>+Q_nν_<n,2>+S_nν_<n+1,2>, ν_<n+1,2>=z^<-1>ν_<n,2>+R_nν_<n,1>+T_nν_<n+1,1gt:, which were proposed by Ablowitz and Ladik. An operator formulation based on the generalized Wronskian relation makes it possible to write down general nonlinear evolution equations of this class in the Hamiltonian forms.
- 理論物理学刊行会の論文
- 1979-03-25
著者
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MUGIBAYASHI Nobumichi
Department of Electrical and Electronic Engineering,Faculty of Engineering,Kobe University
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KAKO Fujio
Department of Applied Mathematics, Faculty of Engineering Hiroshima University
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Kako Fujio
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
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Kako Fujio
Department Of Electrical Kobe University
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Mugibayashi N
Department Of Electrical And Electronic Engineering Faculty Of Engineering Kobe University
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Mugibayashi Nobumichi
Department Of Electrical Kobe University
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MUGIBAYASHI Nobumichi
Department of Electrical, Kobe University
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