Lie Group Classification of a Class of Variable Coefficient Boiti–Leon–Manna–Pempinelli Equations

Christodoulos Sophocleous ()
Additional contact information
Christodoulos Sophocleous: Department of Mathematics and Statistics, University of Cyprus, Nicosia 1678, Cyprus

Mathematics, 2024, vol. 12, issue 22, 1-13

Abstract: The Boiti–Leon–Manna–Pempinelli (BLMP) equation with coefficients being functions of time is considered. Since the coefficient functions are arbitrary, we have a class of BLMP equations. Symmetry analysis is carried out for this class. We derive the equivalence group admitted by the class and we present the enhanced Lie group classification. Lie symmetries are used to construct similarity reductions. Reduction operators that are not equivalent to Lie ones are also constructed.

Keywords: Boiti–Leon–Manna–Pempinelli equations; equivalence groups; Lie group classification; non-Lie reduction operators; exact solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/22/3449/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/22/3449/ (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:12:y:2024:i:22:p:3449-:d:1514191

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 ().