_{Symmetry Analysis of Boussinesq Type Systems and Complete Invariance of Associated Initial and Boundary Value Problems}

Abstract:
The classical and conditional symmetries of two Boussinesq type systems, namely of the so-called KdV-KdV and the Classical Boussinesq system, are determined. These symmetries and the notion of complete invariance are used in deriving exact solutions of  initial-boundary value problems for the above systems of nonlinear evolution equations.