A new algebraic system and its applications

Hon Wah TAM; Yufeng Zhang

doi:10.1016/j.chaos.2004.04.003

A new algebraic system and its applications

Hon Wah TAM^*, Yufeng Zhang

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

14 Citations (Scopus)

Abstract

In terms of the properties of the known loop algebra Ã₁ and difference operators, a new algebraic system X is constructed, which is devote to working out the well-known Toda lattice hierarchy and the Schrödinger lattice hierarchy, respectively. Then an extended algebraic system X̃ of X is presented, from which the integrable coupling systems of the Toda lattice and the Schrödinger lattice are obtained.

Original language	English
Pages (from-to)	151-157
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2004.04.003
Publication status	Published - Jan 2005

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/j.chaos.2004.04.003

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title = "A new algebraic system and its applications",

abstract = "In terms of the properties of the known loop algebra {\~A}1 and difference operators, a new algebraic system X is constructed, which is devote to working out the well-known Toda lattice hierarchy and the Schr{\"o}dinger lattice hierarchy, respectively. Then an extended algebraic system {\~X} of X is presented, from which the integrable coupling systems of the Toda lattice and the Schr{\"o}dinger lattice are obtained.",

author = "TAM, {Hon Wah} and Yufeng Zhang",

year = "2005",

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doi = "10.1016/j.chaos.2004.04.003",

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AU - TAM, Hon Wah

AU - Zhang, Yufeng

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N2 - In terms of the properties of the known loop algebra Ã1 and difference operators, a new algebraic system X is constructed, which is devote to working out the well-known Toda lattice hierarchy and the Schrödinger lattice hierarchy, respectively. Then an extended algebraic system X̃ of X is presented, from which the integrable coupling systems of the Toda lattice and the Schrödinger lattice are obtained.

AB - In terms of the properties of the known loop algebra Ã1 and difference operators, a new algebraic system X is constructed, which is devote to working out the well-known Toda lattice hierarchy and the Schrödinger lattice hierarchy, respectively. Then an extended algebraic system X̃ of X is presented, from which the integrable coupling systems of the Toda lattice and the Schrödinger lattice are obtained.

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U2 - 10.1016/j.chaos.2004.04.003

DO - 10.1016/j.chaos.2004.04.003

M3 - Journal article

AN - SCOPUS:3142695020

SN - 0960-0779

VL - 23

SP - 151

EP - 157

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

A new algebraic system and its applications

Abstract

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