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Cartan equivalence method on fifth-order differential operator
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In this paper, we carry out the equivalence problem for fifth-order
differential operators on the line under general fiber-preserving
transformation using the Cartan method of equivalence. Two versions of
equivalence problems have been solved. We consider the direct
equivalence problem and an equivalence problem to determine the
sufficient and necessary conditions on fifth-order differential
operators such that there exists a fiber--preserving transformation
mapping one to the other according to gauge equivalence.
Title: Cartan equivalence method on fifth-order differential operator
Description:
In this paper, we carry out the equivalence problem for fifth-order
differential operators on the line under general fiber-preserving
transformation using the Cartan method of equivalence.
Two versions of
equivalence problems have been solved.
We consider the direct
equivalence problem and an equivalence problem to determine the
sufficient and necessary conditions on fifth-order differential
operators such that there exists a fiber--preserving transformation
mapping one to the other according to gauge equivalence.
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