ASSOC.PROF.DR. REFİK TURHAN    
Name : REFİK
Surname : TURHAN
E-Mail : turhan@eng.ankara.edu.tr
Phone Number : 0(312) 212 03 84
Title : ASSOC.PROF.DR.
Unit : FACULTY OF ENGINEERING
Department : Department of Engineering Physics
Personal Information

Research Topics:

Integrable Models

Education:

BS: Department of Physics METU, 1994
MS:
Department of Physics METU, 1997
PhD
: Department of Physics METU, 2002

MS Thesisi: A Method For the Classification of Integrable Evolution Equations
Supervisor: Prof. Dr. Atalay Karasu
PhD Thesis: Integrable Non-autonomous KdV Systems
Supervisor: Prof. Dr. Atalay KARASU

Supervised PhD Thesis:

Daryoush TALATİ, Köşegenleştirilebilir Olmayan Anakatsayılı Burgers Tipi
İki Bileşenli Denklem Sistemlerinin Simetri Sınıflandırması

Supervised MS Thesis:

Mehmet ERDEM, Black-Scholes Denkleminin Simetri Adım İşlemcileri
Bilge Banu KÖK SAYAR, Dinamik Sistemlerde Çok-Hamiltonsal Entegre Edilebilirlik

Projects:

Yedinci Dereceden Lokal ve Skaler Hamiltonsal İşlemcilerin
Sınıflandırılması, TÜBİTAK proje yürütücü, 2008-2012.

Courses:

Lisans: Klasik Mekanik, Fizik Mühendisliğinde Matematiksel Metodlar I,II
Y.Lisans: Fizikte Simetri.

Administrative Duties:

Fizik Mühendisliği Bölümü Matematiksel Fizik Anabilim Dalı Başkanı, 2008-....

Institute of Nuclear Sciences Wise Director, 2014-....

Publications:

Gürses M., Karasu A., and Turhan R., "Non-autonomous Svinolupov-Jordan KdV Systems", J. Phys. A: Math.Gen 34, 5705 (2001). DOI: 10.1088/0305-4470/34/28/306

Gürses M., Karasu A., and Turhan R., "Time Dependent Recursion Operators and Symmetries", J. Nonlin. Math. Phys 9, 210 (2002). DOI: 10.2991/jnmp.2002.9.2.5

Turhan R., "A Class of Nonautonomous Coupled KdV Systems", J. Math. Phys. 45, 713 (2004). DOI:10.1063/1.1628838

Turhan R., "Infinite-Hamiltonian Structures of the Riemann Equation", Turk. J. Phys. 30, 445 (2006).

Karasu-Kalkanlı A, Karasu A, Sakovich A., Sakovich S., and Turhan R., "A New Integrable Generalization of the Korteweg-de Vries Equation", J. Math. Phys. 49, 073516 (2008). DOI: 10.1063/1.2953474

Gürses M., Karasu A., and Turhan R., "On Noncommutative Integrable Burgers Equations”, J. Nonlin. Math. Phys. 17, 1 (2010). DOI: 10.1142/S1402925110000532

Talati D., and Turhan R., "On a Recently Introduced Fifth-Order Bi-Hamiltonian Equation and Trivially Related Hamiltonian Operators", SIGMA 7, 0081 (2011). DOI:10.3842/SIGMA.2011.081

De Sole A., Kac V.G. and Turhan R., “A newapproach to the Lenard-Magri Scheme of integrability”, Commun. Math. Phys. 330, 107 (2014). DOI:10.1007/s00220-014-2045-6