Lie symmetry and conservation law of Birkhoffian system

1999 ◽  
Vol 44 (4) ◽  
pp. 318-320 ◽  
Author(s):  
Fengxiang Mei
Keyword(s):  
Conservation Law ◽  
Lie Symmetry ◽  
Birkhoffian System ◽  
Symmetry And Conservation Law

On the symmetry and conservation law classification of the de Sitter–Schwarzschild metric and the corresponding wave and Klein–Gordon equations

2020 ◽  
Vol 17 (11) ◽  
pp. 2050172
Author(s):  
Ashfaque H. Bokhari ◽  
A. H. Kara ◽  
F. D. Zaman ◽  
B. B. I. Gadjagboui
Keyword(s):  
Conservation Laws ◽  
Conservation Law ◽  
De Sitter ◽  
Killing Vectors ◽  
Schwarzschild Geometry ◽  
Klein Gordon ◽  
Spacetime Metric ◽  
Variational Symmetries ◽  
Symmetry And Conservation Law

The main purpose of this work is to focus on a discussion of Lie symmetries admitted by de Sitter–Schwarzschild spacetime metric, and the corresponding wave or Klein–Gordon equations constructed in the de Sitter–Schwarzschild geometry. The obtained symmetries are classified and the variational (Noether) conservation laws associated with these symmetries via the natural Lagrangians are obtained. In the case of the metric, we obtain additional variational ones when compared with the Killing vectors leading to additional conservation laws and for the wave and Klein–Gordon equations, the variational symmetries involve less tedious calculations as far as invariance studies are concerned.

scholarly journals Symmetries, pseudosymmetries and conservation laws in Lagrangian and Hamiltonian k-symplectic formalisms

2016 ◽  
Vol 13 (03) ◽  
pp. 1650026
Author(s):  
Florian Munteanu
Keyword(s):  
Conservation Laws ◽  
Hamiltonian Systems ◽  
Conservation Law ◽  
Type Theorem ◽  
Natural Extension ◽  
Lagrangian Systems ◽  
Symmetry And Conservation Law

In this paper, we will present Lagrangian and Hamiltonian [Formula: see text]-symplectic formalisms, we will recall the notions of symmetry and conservation law and we will define the notion of pseudosymmetry as a natural extension of symmetry. Using symmetries and pseudosymmetries, without the help of a Noether type theorem, we will obtain new kinds of conservation laws for [Formula: see text]-symplectic Hamiltonian systems and [Formula: see text]-symplectic Lagrangian systems.

scholarly journals Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation

2019 ◽  
Vol 17 (1) ◽  
pp. 1045-1054
Author(s):  
Hengtai Wang ◽  
Huiwen Chen ◽  
Zigen Ouyang ◽  
Fubin Li
Keyword(s):  
Lie Group ◽  
Conservation Law ◽  
Higher Order ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Optimal System ◽  
Group Method ◽  
Lie Symmetry Analysis ◽  
Lie Group Method ◽  
Similarity Reductions

Abstract In this paper, Lie symmetry analysis is performed for the equation derived from $(2+1)$-dimensional higher order Broer-Kaup equation. Meanwhile, the optimal system and similarity reductions based on the Lie group method are obtained. Furthermore, the conservation law is studied via the Ibragimov’s method.

Lie symmetry and Mei conservation law of continuum system

2011 ◽  
Vol 20 (2) ◽  
pp. 021101 ◽  
Author(s):  
Shen-Yang Shi ◽  
Jing-Li Fu
Keyword(s):  
Conservation Law ◽  
Lie Symmetry

Symmetry and conservation law structures of some anti-self-dual (ASD) manifolds

Pramana ◽  
2016 ◽  
Vol 87 (5) ◽  
Author(s):  
J BASINGWA ◽  
A H KARA ◽  
ASHFAQUE H BOKHARI ◽  
R A MOUSA ◽  
F D ZAMAN
Keyword(s):  
Conservation Law ◽  
Symmetry And Conservation Law
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