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

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

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 mu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematics (Basel) 2021-06, Vol.9 (12), p.1313
Hauptverfasser: Wang, Hengtai, Zou, Zhiwei, Shen, Xin
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Conservation
conservation law
Conservation laws
Food science
Lie groups
lie symmetry analysis
Nonlinear equations
nonlinear self-adjointness
Ordinary differential equations
Partial differential equations
Symmetry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9121313