MathLAB Journal

The relation among Lie-B acklund Transformations andSymmetries For Soliton Equation

Abstract

Zaki M. S.

In this paper, we establish how symmetries of a system of dierential equations Rk+1 may be combined with a Backlund
map for Rk+1 to produce another Backlund map for Rk+1.And use prolongations of Backlund map to generate
symmetries for the system of dierential equations we show that one can obtain Symmetries of Soliton equations
from their Backlund Transformations. Finally We explain brie y the concepts of LB transformations group,for Kdv
equation.<