Courses

                          MATH 202

                          MATH 220

                          MATH 225

                          MATH 240

                          MATH 443

                    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

    • "Generalized Scaling Reductions and Painlevé Hierarchies", w/ P.R. Gordoa, A. Pickering,  Applied Mathematics and Computation219 (2013)  18104-8111, PDF (Preprint).
    • "On the Solvability of Discrete Second Painlevé Equations", w/ P.M. Santini,  Journal of Physics A: Math & Theor. , 44 (2011)  185204 (13pp), PDF .
    • "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 .

     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

     

                                                 

       © 2013, U. Mugan,                        Last update: Under continuous construction , March 2013 .