|XXV Workshop on Geometric Methods in Physics||2-8.07.2006|
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Lie group symmetry reduction of a strongly coupled Boussinesq system: classification of the invariance subalgebras and exact solutions
The reduction of a strongly coupled Boussinesq system of equations with respect to all subalgebras of rank one of the corresponding maximal invariance algebra is carried out. The invariance subalgebras are classified. Galilean exact solutions as well as hidden travelling wave solutions are obtained.