TY - JOUR
ID - 16069
TI - A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Haghighatdoost, Ghorbanali
AU - Bazghandi, Mostafa
AU - Pashaei, Firooz
AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
AD - Department of Mathematics, University of Maragheh, P.O.Box 55181-83111, Maragheh, Iran.
Y1 - 2023
PY - 2023
VL - 11
IS - 4
SP - 803
EP - 810
KW - Differential invariants
KW - Moving frames
KW - KdV equations
KW - Kawaharara equation
DO - 10.22034/cmde.2023.53967.2262
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_16069.html
L1 - https://cmde.tabrizu.ac.ir/article_16069_e55e1b2c66684193891fbb52b83d4fd6.pdf
ER -