93 citations · 174 across the 6 of their papers we have counts for
6 papers
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
P. Basarab-Horwath, F. Güngör, V. Lahno
We give a complete point-symmetry classification of all third-order evolution equations of the form which admit semi-simple s…
Group classification of the general evolution equation: local and quasi-local symmetries
Renat Zhdanov, Victor Lahno
We expand our group classification of quasilinear evolution equations (Acta Appl.Math., v.69, 2001) to the case of general evolution equation in one spatial variable. This enables…
The group classification of one class of nonlinear wave equations
Victor I. Lahno, Olena V. Magda
The problem of group classification of one class of quasilinear equations of hyperbolic type with two independent variables has been solved completely.
Symmetry classification of KdV-type nonlinear evolution equations
F. Gungor, V. I. Lahno, R. Z. Zhdanov
Group classification of a class of third-order nonlinear evolution equations generalizing KdV and mKdV equations is performed. It is shown that there are two equations admitting si…
The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations
P. Basarab-Horwath, V. Lahno, R. Zhdanov
The present paper solves completely the problem of the group classification of nonlinear heat-conductivity equations of the form\ . We…
Group classification of heat conductivity equations with a nonlinear source
R. Z. Zhdanov, V. I. Lahno
We suggest a systematic procedure for classifying partial differential equations invariant with respect to low dimensional Lie algebras. This procedure is a proper synthesis of the…