Victor LAHNO
Poltava State Pedagogical University,
2 Ostrogradskoho Str., Poltava, UKRAINE
E-mail: laggo@poltava.bank.gov.ua

Renat ZHDANOV
Department of Applied Research,
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: renat@imath.kiev.ua
 

Symmetry classification of the third order KdV-type of nonlinear equations

Abstract:
We perform a classification of  a class of third order evolution equations admitting low-dimensional symmetry groups. We use the notion of equivalence transformations and structure of low-dimensional Lie algebras to achieve this classification.