A Class of Complex Solutions To the Finite Toda Lattice

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Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-elsevier Science Ltd

Open Access Color

HYBRID

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No

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Abstract

In this paper, a class of complex-valued solutions to the finite Toda lattice is constructed by using the inverse spectral method. The corresponding Lax operator is a finite complex Jacobi matrix. As the initial values there are taken such complex numbers that the corresponding Jacobi matrix has a simple spectrum. Some examples are given. (C) 2012 Elsevier Ltd. All rights reserved.

Description

Keywords

Toda lattice, Jacobi matrix, Difference equation, Spectral data, Inverse spectral problem, Modelling and Simulation, Computer Science Applications

Fields of Science

0103 physical sciences, 0101 mathematics, 01 natural sciences

Citation

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OpenCitations Citation Count
1

Source

Mathematical and Computer Modelling

Volume

57

Issue

5-6

Start Page

1190

End Page

1202

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Citations

CrossRef : 1

Scopus : 3

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Mendeley Readers : 2

SCOPUS™ Citations

3

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Web of Science™ Citations

3

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0.25

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