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math-ph2014★ 4 cited
Lie symmetries of fundamental solutions of one (2+1)-dimensional ultra-parabolic Fokker--Planck--Kolmogorov equation
Sergii Kovalenko, Valeriy Stogniy, Maksym Tertychnyi
A (2+1)-dimensional linear ultra-parabolic Fokker--Planck--Kolmogorov equation is investigated from the group-theoretical point of view. By using the Berest--Aksenov approach, an a…
math-ph2014★ 2 cited
Symmetry analysis and exact solutions of one class of (1+3)-dimensional boundary-value problems of the Stefan type
S. S. Kovalenko
We present the group classification of one class of (1+3)-dimensional nonlinear boundary-value problems of the Stefan type that simulate the processes of melting and evaporation of…