The Lotka-Volterra Equations and the QR Algorithm
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概要
- 論文の詳細を見る
It is shown that a hierarchy of the Lotka-Volterra equations is generated from the QR algorithm to find eigenvalues of a given matrix. One of the equations in the hierarchy is given by dN_k/dt=N_k{N_<k+1>(N_k+N_<k+1>+N_<k+2>)-N_<k-1>(N_<k-2>+N_<k-1>+N_k)}, in which one species interacts with other four species. The relation between this hierarchy and the Toda lattice hierarchy is discussed. Moreover, the structure of soliton solutions is studied by means of the bilinear formalism.
- 社団法人日本物理学会の論文
- 1995-10-15
著者
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Satsuma Junkichi
Department Of Mathematical Sciences University Of Tokyo
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Satsuma Junkichi
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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Nagai Atsushi
Department Of Internal Medicine-1 Tokyo Women's Medical University
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