Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation

Hengtai Wang, Zhiwei Zou and Xin Shen
Additional contact information
Hengtai Wang: School of Mathematics and Physics, University of South China, Hengyang 421001, China
Zhiwei Zou: School of Mathematics and Physics, University of South China, Hengyang 421001, China
Xin Shen: College of Electrical Engineering, University of South China, Hengyang 421001, China

Mathematics, 2021, vol. 9, issue 12, 1-10

Abstract: In the present paper, we mainly focus on the symmetry of the solutions of a given PDE via Lie group method. Meanwhile we transfer the given PDE to ODEs by making use of similarity reductions. Furthermore, it is shown that the given PDE is self-adjoining, and we also study the conservation law via multiplier approach.

Keywords: lie symmetry analysis; nonlinear self-adjointness; conservation law (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/12/1313/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/12/1313/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:12:p:1313-:d:570670

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().