Abstract:
A method developed by V. E. Zakharov and E. I. Shul'man for understanding the integrable cases of a given system of di erential equations having some certain Hamiltonian structure is represented. Then an application of this method to the Zakharov- Shul'man system which has been performed by Shul'man is explained in detail. Finally the same method is applied to the generalized Davey-Stewartson system and some conclusions on its integrability are made.
