THERMAL SCIENCE

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Sheng Zhang

,

Dongdong Liu

INFINITE MANY CONSERVATION LAWS OF DISCRETE SYSTEM ASSOCIATED WITH A 3×3 MATRIX SPECTRAL PROBLEM

ABSTRACT
Differential-difference equations are often considered as an alternative approach to describing some phenomena arising in heat/electron conduction and flow in carbon nanotubes and nanoporous materials. Infinite many conservation laws play important role in discussing the integrability of non-linear differential equations. In this paper, infinite many conservation laws of the non-linear differential-difference equations associated with a 3×3 matrix spectral problem are obtained.
KEYWORDS
conservation law, non-linear DDEs, matrix spectral problem
PAPER SUBMITTED: 2016-07-02
PAPER REVISED: 2016-10-15
PAPER ACCEPTED: 2016-10-25
PUBLISHED ONLINE: 2017-09-09
DOI REFERENCE: https://doi.org/10.2298/TSCI160702043Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 4, PAGES [1613 - 1619]
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Infinite many conservation laws of discrete system associated with a 3×3 matrix spectral problem

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