46 citations · 73 across the 7 of their papers we have counts for
4 papers · 1 filter
Differential invariants for a class of diffusion equations
Elsa Dos Santos Cardoso-Bihlo, Alexander Bihlo, Roman O. Popovych
We find the complete equivalence group of a class of (1+1)-dimensional second-order evolution equations, which is infinite-dimensional. The equivariant moving frame methodology is…
Algebraic method for finding equivalence groups
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
The algebraic method for computing the complete point symmetry group of a system of differential equations is extended to finding the complete equivalence group of a class of such…
Differential Invariants for the Korteweg-de Vries Equation
Elsa Maria Dos Santos Cardoso-Bihlo
Differential invariants for the maximal Lie invariance group of the Korteweg-de Vries equation are computed using the moving frame method and compared with existing results. Closed…
Enhanced preliminary group classification of a class of generalized diffusion equations
Elsa Dos Santos Cardoso-Bihlo, Alexander Bihlo, Roman O. Popovych
The method of preliminary group classification is rigorously defined, enhanced and related to the theory of group classification of differential equations. Typical weaknesses in pa…