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Cartan equivalence method on fifth-order differential operator
  • Rohollah Bakhshandeh Chamazkoti,
  • Morteza Bakhshandeh,
  • mehdi nadjafikhah
Rohollah Bakhshandeh Chamazkoti
Babol Noshirvani University of Technology

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Morteza Bakhshandeh
Karaj Islamic Azad University Faculty of Sciences
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mehdi nadjafikhah
Iran University of Science and Technology
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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.