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

Department of Economic

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

Fingerprint

Toda Lattice

Stable Solution

Gauss

Decompose

Soliton Solution

Entire Function

Unstable

Singularity

ASJC Scopus subject areas

Mathematics(all)

Cite this

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

On stable solutions of the finite non-periodic Toda lattice. / Ikeda, Kaoru.

In: Comptes Rendus Mathematique, Vol. 350, No. 21-22, 11.2012, p. 985-989.

Research output: Contribution to journal › Article

Ikeda, K 2012, 'On stable solutions of the finite non-periodic Toda lattice', Comptes Rendus Mathematique, vol. 350, no. 21-22, pp. 985-989. https://doi.org/10.1016/j.crma.2012.10.020

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

Ikeda, Kaoru. / On stable solutions of the finite non-periodic Toda lattice. In: Comptes Rendus Mathematique. 2012 ; Vol. 350, No. 21-22. pp. 985-989.

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Access to Document

10.1016/j.crma.2012.10.020