Svetlana KORDYUKOVA
Department of Mathematics,
Ufa State Aviation Technical University,
12 K. Marx Str.,
450000 Ufa,
RUSSIA
E-mail: yuri@imat.rb.ru, ykordyukov@yahoo.com

Approximate nonclassical Lie-Backlund symmetries for partial differential equations

Abstract:
We introduce a method of approximate nonclassical Lie-Backlund symmetries for partial differential equations with a small parameter and discuss applications of this method to finding of approximate solutions of the Korteweg-de Vries equation with a small parameter.