Oleksandr A. Pocheketa

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20112016

most citedGroup classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping

22 citations · 67 across the 6 of their papers we have counts for

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3 papers · 1 filter

math-ph2016★ 2 cited

Equivalence groupoid of generalized potential Burgers equations

Oleksandr A. Pocheketa

We find the equivalence groupoid of a~class of $(1 + 1)$ -dimensional second-order evolution equations, which are called generalized potential Burgers equations. This class is related…

math-ph2016★ 5 cited

Normalized classes of generalized Burgers equations

Oleksandr A. Pocheketa

A hierarchy of normalized classes of generalized Burgers equations is studied. The equivalence groupoids of these classes are computed. The equivalence groupoids of classes of line…

math-ph2016★ 18 cited

Extended symmetry analysis of generalized Burgers equations

Oleksandr A. Pocheketa, Roman O. Popovych

Using advanced classification techniques, we carry out the extended symmetry analysis of the class of generalized Burgers equations of the form $u_{t} + u u_{x} + f (t, x) u_{xx} = 0$ . This enha…