On Invariant Analysis, Symmetry Reduction and Conservation Laws of Nonlinear Buckmaster Model

2020 ◽  
pp. 129-137
Author(s):  
Pinki Kumari ◽  
R. K. Gupta ◽  
Sachin Kumar
Keyword(s):  
Conservation Laws ◽  
Symmetry Reduction ◽  
Invariant Analysis

SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS

2005 ◽  
Vol 02 (04) ◽  
pp. 657-674 ◽  
Author(s):  
GIUSEPPE GAETA ◽  
PAOLA MORANDO ◽  
OSMAN TEOMAN TURGUT
Keyword(s):  
Variational Principle ◽  
Conservation Laws ◽  
Variational Approach ◽  
Vector Fields ◽  
Symmetry Reduction ◽  
Conserved Quantities ◽  
Volume Form ◽  
Liouville Dynamics

In a recent paper, a variational principle for Liouville dynamics (vector fields preserving a volume form) was introduced. In the present paper, we discuss the relation between symmetries and conservation laws in Liouville dynamics. We recall a result by Crampin relating symmetries and conserved quantities in Liouville dynamics, and discuss how symmetry reduction is implemented in the frame of the variational principle for Liouville dynamics.

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