Lie symmetries, group classification and conserved quantities of dispersionless Manakov–Santini system in (2+1)-dimension

Manjit Singh and Shou-Fu Tian ()
Additional contact information
Manjit Singh: Punjabi University
Shou-Fu Tian: China University of Mining and Technology

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 2, 312-329

Abstract: Abstract A member of Manakov–Santini (MS) hierarchy is investigated in this work using Lie group analysis and the multiplier approach. The admitted 11-dimensional Lie algebra for the MS system has been proved to be completely solvable on basis of the existence of chain of ideals. The optimal list of inequivalent one-dimensional subalgebras are constructed from adjoint actions collected in a table. The method for construction of similar list in 2-dimension has also been discussed in detail. The subalgebras so obtained are used to give out several inequivalent reductions and subsequently some exact solutions are reported. In addition to usual Lie symmetry analysis, the infinite set of non-trivial conservation laws are obtained.

Keywords: MS system; Symmetry analysis; Normalizer; Optimal list of subalgebra; Conservation laws; 58J70; 70G65; 35L65 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-022-00255-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:indpam:v:54:y:2023:i:2:d:10.1007_s13226-022-00255-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-022-00255-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().