Courses                                       

               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, 8 (2009), No.3, 259-273,  PDF .
    • "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 Block,  SA-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)

     

       Send e-mail to Mugan

     

                                                 

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