2024 : 11 : 13
Firooz Pashaie

Firooz Pashaie

Academic rank: Associate Professor
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Education: PhD.
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Research

Title
A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types
Type
JournalPaper
Keywords
Differential invariants, Moving frames, KdV equations, Kawaharara equation.
Year
2023
Journal Computational Methods for Differential Equations
DOI
Researchers ، ، Firooz Pashaie

Abstract

In this paper, we study the algebraic structure of differential invariants of a fifth-order KdV equation, known as Kawaha 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 equations. We prove that the differential invariant algebra of the equation can be generated by two first-order differential invariants.