A hierarchy of new nonlinear differential-difference equations

Xianguo Geng; Huihui Dai

doi:10.1143/JPSJ.75.013002

A hierarchy of new nonlinear differential-difference equations

Xianguo Geng, Huihui Dai

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

12 Citations (Scopus)

Abstract

A hierarchy of new nonlinear differential-difference equations associated with a 3 x 3 matrix spectral problem is proposed. The generalized Hamiltonian structures for the hierarchy are derived with the aid of trace identity. ©2006 The Physical Society of Japan.

Original language	English
Article number	13002
Journal	Journal of the Physical Society of Japan
Volume	75
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.75.013002
Publication status	Published - Jan 2006

Research Keywords

Discrete spectral problem
Integrability
Nonlinear differential-difference equations

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title = "A hierarchy of new nonlinear differential-difference equations",

abstract = "A hierarchy of new nonlinear differential-difference equations associated with a 3 x 3 matrix spectral problem is proposed. The generalized Hamiltonian structures for the hierarchy are derived with the aid of trace identity. {\textcopyright}2006 The Physical Society of Japan.",

keywords = "Discrete spectral problem, Integrability, Nonlinear differential-difference equations",

author = "Xianguo Geng and Huihui Dai",

year = "2006",

month = jan,

doi = "10.1143/JPSJ.75.013002",

language = "English",

volume = "75",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "The Physical Society of Japan",

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T1 - A hierarchy of new nonlinear differential-difference equations

AU - Geng, Xianguo

AU - Dai, Huihui

PY - 2006/1

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N2 - A hierarchy of new nonlinear differential-difference equations associated with a 3 x 3 matrix spectral problem is proposed. The generalized Hamiltonian structures for the hierarchy are derived with the aid of trace identity. ©2006 The Physical Society of Japan.

AB - A hierarchy of new nonlinear differential-difference equations associated with a 3 x 3 matrix spectral problem is proposed. The generalized Hamiltonian structures for the hierarchy are derived with the aid of trace identity. ©2006 The Physical Society of Japan.

KW - Discrete spectral problem

KW - Integrability

KW - Nonlinear differential-difference equations

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33847344611&origin=recordpage

U2 - 10.1143/JPSJ.75.013002

DO - 10.1143/JPSJ.75.013002

M3 - RGC 21 - Publication in refereed journal

SN - 0031-9015

VL - 75

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 1

M1 - 13002

ER -

A hierarchy of new nonlinear differential-difference equations

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Research Keywords

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