On stable solutions of the finite non-periodic Toda lattice

Kaoru Ikeda

doi:10.1016/j.crma.2012.10.020

On stable solutions of the finite non-periodic Toda lattice

Kaoru Ikeda

Faculty of Economics

Research output: Contribution to journal › Article

Abstract

In this Note we study stable solutions of the finite non-periodic (A _n-type) Toda lattice. Solutions of the A _n-type Toda lattice are obtained by Gauss decomposition. Such solutions are unstable because the Gauss decomposition brings singularities. We obtain stable solutions which are entire functions on R as the soliton solutions by modified Gauss decomposition.

Original language	English
Pages (from-to)	985-989
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	350
Issue number	21-22
DOIs	https://doi.org/10.1016/j.crma.2012.10.020
Publication status	Published - 2012 Nov 1

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ASJC Scopus subject areas

Mathematics(all)

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Ikeda, K. (2012). On stable solutions of the finite non-periodic Toda lattice. Comptes Rendus Mathematique, 350(21-22), 985-989. https://doi.org/10.1016/j.crma.2012.10.020

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Access to Document

10.1016/j.crma.2012.10.020