Thesis Type: Doctorate
Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Mathematics, Turkey
Approval Date: 2009
Thesis Language: Turkish
Student: EMRULLAH YAŞAR
Principal Supervisor (For Co-Supervisor Theses): Sibel Yalçın Tokgöz
Co-Supervisor: Teoman ÖzerAbstract:
In this doctoral thesis, we study the local and nonlocal conservation laws ofevolution type equations. It is demonstrated that there exist local or nonlocalconservation laws for each symmetry (Lie point, Lie-Backlund and nonlocal symmetry)of evolution type equations which have not Lagrangians. We also obtain potentialsymmetries , symmetry reductions and invariant solutions by utilizing conservationlaws. In addition, symmetry classifications were constructed for in question equationswhich have arbitrary functions.