105 citations · 755 across the 31 of their papers we have counts for
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Group analysis of a class of nonlinear Kolmogorov equations
Olena Vaneeva, Yuri Karadzhov, Christodoulos Sophocleous
A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The comple…
Realizations of Galilei algebras
Maryna Nesterenko, Severin Posta, Olena Vaneeva
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by I. Shirokov. The varieties of the…
Group analysis of Benjamin-Bona-Mahony equations with time dependent coefficients
Olena Vaneeva, Roman Popovych, Christodoulos Sophocleous
Group classification of a class of Benjamin-Bona-Mahony (BBM) equations with time dependent coefficients is carried out. Two equivalent lists of equations possessing Lie symmetry e…