On stable solutions of the finite non-periodic Toda lattice (Q694693)

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scientific article; zbMATH DE number 6115458
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On stable solutions of the finite non-periodic Toda lattice
scientific article; zbMATH DE number 6115458

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    On stable solutions of the finite non-periodic Toda lattice (English)
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    13 December 2012
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    The author studies the stable solutions of the finite non-periodic \(A_n\)-type Toda lattice. The author considers a modified Gauss decomposition which gives the flow of the Toda lattice. By this method, the stable solutions which are entire functions on the real numbers are obtained. As an example, a one-soliton solution is presented.
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    Toda lattice
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    Gauss decomposition
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