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

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.

کلیدواژه ها:

Differential invariants ، Moving frames ، KdV equations ، Kawaharara equation