Darboux transform and conservation laws of new differential-difference equations

Darboux transforms, exact solutions and conservation laws are important topics in thermal science and other fields as well. In this paper, the new non-linear differential-difference equations associated a discrete linear spectral problem are studied analytically. Firstly, the Darboux transf...

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Main Authors:	Zhang Sheng, Liu Dongdong
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2020-01-01
Series:	Thermal Science
Subjects:	darboux transform conservation law exact solution discrete linear spectral problem differential-difference equations
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362004519Z.pdf

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record_format	Article
spelling	doaj-b094cb072bb042418793368cdf6482cc2021-01-02T08:14:46ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362020-01-012442519252710.2298/TSCI2004519Z0354-98362004519ZDarboux transform and conservation laws of new differential-difference equationsZhang Sheng0Liu Dongdong1School of Mathematics and Physics, Bohai University, Jinzhou, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou, ChinaDarboux transforms, exact solutions and conservation laws are important topics in thermal science and other fields as well. In this paper, the new non-linear differential-difference equations associated a discrete linear spectral problem are studied analytically. Firstly, the Darboux transform of the studied equations is constructed, and exact solutions are then obtained. Finally, infinite many conservation laws are derived.http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362004519Z.pdfdarboux transformconservation lawexact solutiondiscrete linear spectral problemdifferential-difference equations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhang Sheng Liu Dongdong
spellingShingle	Zhang Sheng Liu Dongdong Darboux transform and conservation laws of new differential-difference equations Thermal Science darboux transform conservation law exact solution discrete linear spectral problem differential-difference equations
author_facet	Zhang Sheng Liu Dongdong
author_sort	Zhang Sheng
title	Darboux transform and conservation laws of new differential-difference equations
title_short	Darboux transform and conservation laws of new differential-difference equations
title_full	Darboux transform and conservation laws of new differential-difference equations
title_fullStr	Darboux transform and conservation laws of new differential-difference equations
title_full_unstemmed	Darboux transform and conservation laws of new differential-difference equations
title_sort	darboux transform and conservation laws of new differential-difference equations
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836
publishDate	2020-01-01
description	Darboux transforms, exact solutions and conservation laws are important topics in thermal science and other fields as well. In this paper, the new non-linear differential-difference equations associated a discrete linear spectral problem are studied analytically. Firstly, the Darboux transform of the studied equations is constructed, and exact solutions are then obtained. Finally, infinite many conservation laws are derived.
topic	darboux transform conservation law exact solution discrete linear spectral problem differential-difference equations
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362004519Z.pdf
work_keys_str_mv	AT zhangsheng darbouxtransformandconservationlawsofnewdifferentialdifferenceequations AT liudongdong darbouxtransformandconservationlawsofnewdifferentialdifferenceequations
_version_	1724356895638028288

Darboux transform and conservation laws of new differential-difference equations

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