Graduate Program in Mathematics.Gürel, Burak.Çolak, İlker Evrim.2023-03-162023-03-162009.MATH 2009 C65https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15245A 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.30cm.Hamiltonian systems.viii, 38 leaves;