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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Bibliographic Details
Main Authors: Zhang Sheng, Liu Dongdong
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2020-01-01
Series:Thermal Science
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2020/0354-98362004519Z.pdf
Description
Summary: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.
ISSN:0354-9836