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AlgebraFromSolution

AlgebraFromSolution[ig, solution]
gives the r-parameter infinitesimal generator by combining the general form of the infinitesimal generator for the problem with the solution obtained from the SolveOverdeterminedEqs.
  • ig is the infinitesimal operator, in its general form, used for the symmetry analysis. This operator can be obtain by taking the first element of the list which DeterminingEqs gives.
  • solution is the set of rules for the coefficients of ig. This set can be readily supplied by using the command SolveOverdeterminedEqs on the overdetermined system found.
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Basic Examples   (1)
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Let us take the ODE
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the determining equations of the ode and the general form of the inifinitesimal generator are given by the command
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we solve the determining equations using SolveOverdeterminedEqs
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finally, by using the AlgebraFromSolution we obtain the specific multiparameter infinitesimal generator
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