Courses                                       

        MATH 202

        MATH 225 

     MATH 240

 Publications 

 Fields of Interest

  Contact  Info.

  Sci. Jokes

  LAND ROVER

         Series III

         Disco II

      

  

 
   Professor, Department of Mathematics  

Biography

married to Can S. Mugan, and has a daughter, Ugurcan

Fields of Interest

  • Ordinary and Partial Differential Equations
  • Integrability of Nonlinear Partial Differential Equations
  • Special Solutions and Properties of Painlevé Equations
  • Second Order Second Degree Painlevé Type Equations
  • Higher Order Painlevé Type Equations
  • Discrete Painlevé Equations
  • Inverse Monodromy Transform
  • Riemann-Hilbert Problems
  •  

    Recent publications

    • "First-order Second-degree Equations Related with Painleve Equations ", w/  A. Sakka,  International Journal of  Nonlinear Science, Accepted, Dec. 2008, PDF  (Preprint).
    • "Cauchy problem for the second member of a PIV hierarchy  ", w/  A. Pickering,  Journal of Physics A: Math & Theor. , 42 (2009)  085203 (11pp),  PDF .
    • "Third order differential equations with fixed critical points ", w/  Y. Adjabi, F. Jrad, A. Kessi,  Applied Mathematics and Computation, 208 (2009)  238-248,  PDF .
    • "Bäcklund transformations for discrete Painlevé equations: Discrete PII - PV  ", w/ A. Sakka,  Chaos Solitons and Fractals, 27 (2006)  387–394, PDF .
    • "Non-polynomial fourth order equations which pass the Painlevé test",  w/ F.Jrad, Zeitschrift für Naturforschung A, 60a (2005)  387-400,    PDF (Preprint).
    • "Schlesinger transformations for discrete second Painlevé Equation: d-PII", w/ A. Sakka and P.M. Santini,               Phys. Lett. A.,  336/1  (2005)  37-45PDF.
    • "Bäcklund Transformations for Higher Order Painlevé Equations", w/ P.R.Gordoa, A.Pickering, A.Sakka,             Chaos Solitons and Fractals, 22/5  (2004)  1103-1115,  PDF .
    • "Non-polynomial third order equations which pass the Painlevé test",  w/ F.Jrad,                                                       Zeitschrift für Naturforschung A59A  (2004)  163-180, PDF (Preprint).

    Courses taught 

    Undergraduate Level

    Graduate Level

    • MATH 543, Methods of Applied Mathematics I, Ordinary Differential Equations - Syllabus (Fall 2002-03)
    • MATH 544Methods of Applied Mathematics II, Partial Differential Equations - Syllabus (Spring 2002-03)
    Contact Information

    Office     :  Bilkent University, Faculty of Science, A-117


    Address  :  Department of Mathematics, Bilkent University


                06800 Bilkent, Ankara, TURKEY


    Phone     :  +90 (312) 290-1590  ( Office)


    Fax         :  +90 (312) 266-4579  (Attn. Ugurhan Mugan)

                                                

    Last update: Under continuous construction , February 2009,                                                                                                 © 2009, U. Mugan