Stelios DIMAS and Dimitri TSOUBELIS
Department of Mathematics,
University of Patras,
Rio 26500,

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

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.