39 citations
2 papers
math.AP2017★ 2 cited
Group classification of a class of generalized nonlinear Kolmogorov equations and exact solutions
Inna Rassokha, Mykola Serov, Stanislav Spichak +1
A class of generalized nonlinear Kolmogorov equations is investigated. We present the group classification of Lie symmetries of the class with respect to the group of equivalence t…
math-ph2015★ 39 cited
Lie symmetry properties of nonlinear reaction-diffusion equations with gradient-dependent diffusivity
R. Cherniha, J. R. King, S. Kovalenko
Complete descriptions of the Lie symmetries of a class of nonlinear reaction-diffusion equations with gradient-dependent diffusivity in one and two space dimensions are obtained. A…