Breakdown of the connection between symmetries and conservation laws for semiholonomic systems
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DOI: 10.1119/5.0067183
Abstract: Abstract Integrable velocity-dependent constraints are said to be semiholonomic. For good reasons, holonomic and semiholonomic constraints are thought to be indistinguishable in Lagrangian mechanics. This well-founded belief notwithstanding, here we show by means of an… read more here.
Keywords: conservation laws; symmetries conservation; connection symmetries; breakdown connection ... See more keywords
On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations
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DOI: 10.1155/2017/9401205
Abstract: We carry out a classification of Lie symmetries for the ()-dimensional nonlinear damped wave equation with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some… read more here.
Keywords: nonlinear damped; symmetries conservation; laws multidimensional; multidimensional nonlinear ... See more keywords