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Lie symmetry reductions and exact solutions to a generalized two-component Hunter-Saxton system
- Source :
- AIMS Mathematics, Vol 6, Iss 2, Pp 1087-1100 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- Based on the classical Lie group method, a generalized two-component Hunter-Saxton system is studied in this paper. All of the its geometric vector fields, infinitesimal generators and the commutation relations of Lie algebra are derived. Furthermore, the similarity variables and symmetry reductions of this new generalized two-component Hunter-Saxton system are derived. Under these Lie symmetry reductions, some exact solutions are obtained by using the symbolic computation. Moreover, a conservation law of this system is presented by using the multiplier approach.
- Subjects :
- generalized two-component hunter-saxton system
Pure mathematics
Conservation law
Similarity (geometry)
lie symmetry analysis
General Mathematics
Computation
Infinitesimal
lcsh:Mathematics
Mathematics::Analysis of PDEs
Lie group
exact solutions
lcsh:QA1-939
Symmetry (physics)
Nonlinear Sciences::Exactly Solvable and Integrable Systems
symmetry reductions
Lie algebra
conservation law
Vector field
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 6
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....a259f9be5deadd13e2a5025556025697