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- W3148045685 abstract "Explicit forms of the determining equations for the infinitesimal generators associated with the symmetry group of a general system of balance equations of finite arbitrary order involving n independent and N dependent variables are given by employing exterior calculus. The infinitesimal generators are identified as components of isovector fields of a closed ideal generated by certain exterior differential forms corresponding to a system of first order equations which are equivalent to the original balance equations. Two examples from nonlinear elastodynamics involving only two independent variables are considered to expose the efficiency of the approach and some similarity solutions corresponding to particular symmetry groups and satisfying ordinary differential equations are provided." @default.
- W3148045685 created "2021-04-13" @default.
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- W3148045685 date "2011-01-01" @default.
- W3148045685 modified "2023-09-26" @default.
- W3148045685 title "SYMMETRY GROUPS OF BALANCE EQUATIONS" @default.
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