Geodesic
Differential Invariants of Coupled Hirota-Satsuma KdV Equations
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 793

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In this paper, we consider a generalized coupled Hirota-Satsuma KdV (CHSK) system of equations. We apply the moving frames method to find a finite generating set of differential invariants for the Lie symmetry group of CHSK equations. Once the generating set of differential invariants is located, we obtain recurrence relations and syzygies among the generating differential invariants. Our approach provides a complete characterization of the structure of algebras of differential invariants of CHSK equations.
Classification : 58J70, 35Q53
Keywords: differential invariants, symmetry groups, moving frames, coupled Hirota-Satsuma KdV equations. 
Ghorbanali Haghighatdoost; Mostafa Bazghandi; Firooz Pashaie. Differential Invariants of Coupled Hirota-Satsuma KdV Equations. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 793 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a10/
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     author = {Ghorbanali Haghighatdoost and Mostafa Bazghandi and Firooz Pashaie},
     title = {Differential {Invariants} of {Coupled} {Hirota-Satsuma} {KdV} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {793 },
     year = {2025},
     volume = {49},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a10/}
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