Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

Zuo Nong Zhu; Weimin Xue; Xiaonan Wu; Zuo Min Zhu

doi:10.1088/0305-4470/35/24/307

Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

Zuo Nong Zhu^*, Weimin Xue, Xiaonan Wu, Zuo Min Zhu

^*Corresponding author for this work

Department of Mathematics

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

13 Citations (Scopus)

Abstract

In this paper, by means of the Lax representations, we demonstrate the existence of infinitely many conservation laws for the general Toda-type lattice equation, the relativistic Volterra lattice equation, the Suris lattice equation and some other lattice equations. The conserved density and the associated flux are given formulaically. We also give an integrable discretization for a lattice equation with n dependent coefficients.

Original language	English
Pages (from-to)	5079-5091
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	35
Issue number	24
DOIs	https://doi.org/10.1088/0305-4470/35/24/307
Publication status	Published - 21 Jun 2002

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

Access to Document

10.1088/0305-4470/35/24/307

Cite this

@article{773af6d9f1054b8db8c7c7d4512c3bc4,

title = "Infinitely many conservation laws and integrable discretizations for some lattice soliton equations",

abstract = "In this paper, by means of the Lax representations, we demonstrate the existence of infinitely many conservation laws for the general Toda-type lattice equation, the relativistic Volterra lattice equation, the Suris lattice equation and some other lattice equations. The conserved density and the associated flux are given formulaically. We also give an integrable discretization for a lattice equation with n dependent coefficients.",

author = "Zhu, {Zuo Nong} and Weimin Xue and Xiaonan Wu and Zhu, {Zuo Min}",

year = "2002",

month = jun,

day = "21",

doi = "10.1088/0305-4470/35/24/307",

language = "English",

volume = "35",

pages = "5079--5091",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "24",

}

TY - JOUR

T1 - Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

AU - Zhu, Zuo Nong

AU - Xue, Weimin

AU - Wu, Xiaonan

AU - Zhu, Zuo Min

PY - 2002/6/21

Y1 - 2002/6/21

N2 - In this paper, by means of the Lax representations, we demonstrate the existence of infinitely many conservation laws for the general Toda-type lattice equation, the relativistic Volterra lattice equation, the Suris lattice equation and some other lattice equations. The conserved density and the associated flux are given formulaically. We also give an integrable discretization for a lattice equation with n dependent coefficients.

AB - In this paper, by means of the Lax representations, we demonstrate the existence of infinitely many conservation laws for the general Toda-type lattice equation, the relativistic Volterra lattice equation, the Suris lattice equation and some other lattice equations. The conserved density and the associated flux are given formulaically. We also give an integrable discretization for a lattice equation with n dependent coefficients.

UR - http://www.scopus.com/inward/record.url?scp=0037150639&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/35/24/307

DO - 10.1088/0305-4470/35/24/307

M3 - Journal article

AN - SCOPUS:0037150639

SN - 0305-4470

VL - 35

SP - 5079

EP - 5091

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 24

ER -

Infinitely many conservation laws and integrable discretizations for some lattice soliton equations

Abstract

Scopus Subject Areas

Access to Document

Other files and links

Fingerprint

Cite this