A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types

Haghighatdoost, Ghorbanali; Bazghandi, Mostafa; Pashaei, Firooz

doi:10.22034/cmde.2023.53967.2262

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	A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types
Computational Methods for Differential Equations
مقاله 10، دوره 11، شماره 4، مهر 2023، صفحه 803-810 اصل مقاله (299.96 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.53967.2262
نویسندگان
Ghorbanali Haghighatdoost^* ¹؛ Mostafa Bazghandi¹؛ Firooz Pashaei²
¹Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
²Department of Mathematics, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.
چکیده
In 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.
کلیدواژه‌ها
Differential invariants؛ Moving frames؛ KdV equations؛ Kawaharara equation

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A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types