University of TabrizComputational Methods for Differential Equations2345-398211420230701A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types8038101606910.22034/cmde.2023.53967.2262ENGhorbanaliHaghighatdoostDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.0000-0002-7979-6122MostafaBazghandiDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.FiroozPashaeiDepartment of Mathematics, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.Journal Article20221030In this paper, we study the algebraic structure of differential invariants of a fifth-order KdV equation, known as the Kawahara KdV equation. Using the moving frames method, we locate a finite generating set of differential invariants, recurrence relations, and syzygies among the differential invariants generators of the equation. We prove that the differential invariant algebra of the equation can be generated by two first-order differential invariants.https://cmde.tabrizu.ac.ir/article_16069_e55e1b2c66684193891fbb52b83d4fd6.pdf