IZMIR INSTITUTE OF TECHNOLOGY
DEPARTMENT OF MATHEMATICS

 

Ýsmail Aslan, Ph.D. 

Associate Professor

 

CONTACT INFORMATION    

EDUCATION

RESEARCH INTEREST

PUBLICATIONS

  1. T. Öziþ and Ý. Aslan, Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method, Physics Letters A, 372, 7011-7015, 2008 (SCI)

  2. Ý. Aslan, Discrete exact solutions to some nonlinear differential-difference equations via the (G'/G)-expansion method, Applied Mathematics and Computation, 215, 3140-3147, 2009 (SCI)  

  3. Ý. Aslan, Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G'/G)-expansion method, Applied Mathematics and Computation, 215, 857-863, 2009 (SCI)  

  4. Ý. Aslan and T. Öziþ, On the validity and reliability of the (G'/G)-expansion method by using higher-order nonlinear equations, Applied Mathematics and Computation, 211, 531-536, 2009 (SCI)  

  5. T. Öziþ and Ý. Aslan, Symbolic computations and exact and explicit solutions of some nonlinear evolution equations in mathematical physics, Communications in Theoretical Physics, 51, 577-580, 2009 (SCI)  

  6. T. Öziþ and Ý. Aslan, Symbolic computation and construction of new exact traveling wave solutions to Fitzhugh-Nagumo and Klein-Gordon equations,  Zeitschrift für Naturforschung A, 64a, 15-20, 2009 (SCI)  

  7. Ý. Aslan and T. Öziþ, Analytic study on two nonlinear evolution equations by using the (G'/G)-expansion method, Applied Mathematics and Computation, 209, 425-429, 2009 (SCI)

  8. Ý. Aslan, The extended discrete (G '/G)-expansion method and its application to the relativistic Toda lattice system, International Conference on Numerical Analysis and Applied Mathematics, AIP Conference Proceedings, 1168, 2009, 216-219 (SCI)  

  9. Ý. Aslan, The Exp-function approach to the Schwarzian Korteweg-de Vries equation, Computers & Mathematics with Applications, 59, 2896-2900, 2010 (SCI)

  10. Ý. Aslan, A discrete generalization of the extended simplest equation method, Communications in Nonlinear Science and Numerical Simulation, 15, 1967-1973, 2010 (SCI) 

  11. Ý. Aslan, The Ablowitz-Ladik lattice system by means of the extended (G'/G)-expansion method, Applied Mathematics and Computation, 216, 2778-2782, 2010 (SCI)  

  12. T. Öziþ and Ý. Aslan, Application of the (G'/G)-expansion method to Kawahara type equations using symbolic computation, Applied Mathematics and Computation, 216, 2360-2365, 2010 (SCI)  

  13. Ý. Aslan, Comment on: “New exact solutions for the Kawahara equation using Exp-function method” [J. Comput. Appl. Math. 233 (2009) 97–102], Journal of Computational and Applied Mathematics, 234, 3213-3215, 2010 (SCI)  

  14. Ý. Aslan, A note on the (G'/G)-expansion method again, Applied Mathematics and Computation, 217, 937-938, 2010 (SCI)  

  15. Ý. Aslan, Analytic solutions to nonlinear differential-difference equations by means of the extended (G'/G)-expansion method, Journal of Physics A: Mathematical and Theoretical, 43, 395207, 2010 (SCI)

  16. Ý. Aslan, Generalized solitary and periodic wave solutions to a (2+1)-dimensional Zakharov-Kuznetsov equation, Applied Mathematics and Computation, 217, 1421-1429, 2010 (SCI)  

  17. Ý. Aslan, Multi-wave and rational solutions for nonlinear evolution equations, International Journal of Nonlinear Sciences and Numerical Simulation, 11, 619-623, 2010 (SCI)  

  18. Ý. Aslan, Remark on: "Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation" [Appl. Math. Comput. (2009), doi:10.1016/j.amc.2009.07.009], Applied Mathematics and Computation, 217, 2912, 2010 (SCI)  

  19. Ý. Aslan, Analytic investigation of the (2+1)-dimensional Schwarzian Korteweg-de Vries equation for traveling wave solutions, Applied Mathematics and Computation, 217, 6013-6017, 2011 (SCI)  

  20. Ý. Aslan, Application of the Exp-function method to the (2+1)-dimensional Boiti-Leon-Pempinelli equation using symbolic computation, International Journal of Computer Mathematics, 88, 747-761, 2011 (SCI)  

  21. Ý. Aslan, Comment on: "Application of Exp-function method for (3 + 1)-dimensional nonlinear evolution equations" [Comput. Math. Appl. 56 (2008) 1451-1456], Computers & Mathematics with Applications, 61, 1700-1703, 2011 (SCI)  

  22. Ý. Aslan, Traveling wave solutions to nonlinear physical models by means of the first integral method, Pramana-Journal of Physics, 76, 533-542, 2011 (SCI)  

  23. Ý. Aslan, Constructing rational and multi-wave solutions to higher order NEEs via the Exp-function method, Mathematical Methods in the Applied Sciences, 34, 990-995, 2011 (SCI)  

  24. Ý. Aslan, Exact and explicit solutions to nonlinear evolution equations using the division theorem, Applied Mathematics and Computation, 217, 8134-8139, 2011 (SCI)  

  25. Ý. Aslan, Application of the Exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions, Mathematical Methods in the Applied Sciences, 34, 1707-1710, 2011 (SCI)  

  26. Ý. Aslan, Some exact and explicit solutions to a two–component  discrete nonlinear Schrödinger model, Canadian Journal of Physics, 89, 857-862, 2011 (SCI)  

  27. Ý. Aslan and V. Marinakis, Some remarks on the Exp–function method and its applications, Communications in Theoretical Physics, 56, 397-403, 2011 (SCI) 

  28. Ý. Aslan, Exact and explicit solutions to the discrete nonlinear Schrödinger equation with a saturable nonlinearity, Physics Letters A, 375, 4214-4217, 2011 (SCI)  

  29. Ý. Aslan, The discrete (G'/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system, Numerical Methods for Partial Differential Equations, 28, 127-137, 2012 (SCI)

  30. Ý. Aslan, Some exact solutions for Toda type lattice differential equations using the improved (G'/G)-expansion method, Mathematical Methods in the Applied Sciences, 35, 474-481, 2012 ( SCI )

  31. Ý. Aslan, Rational and multi–wave solutions to nonlinear evolution equations by means of the Exp-function method, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys, 74, 25-34, 2012 (SCI)  

  32. Ý. Aslan, The first integral method for constructing exact and explicit solutions to nonlinear evolution equations, Mathematical Methods in the Applied Sciences, 35, 716-722, 2012 ( SCI )

  33. Ý. Aslan, On the application of the Exp-function method to nonlinear differential-difference equations, Applied Mathematics and Computation, 218, 9594-9595, 2012 (SCI)

FAVORITE QUOTE

"Among all mathematical disciplines the theory of differential equations is the most important...It furnishes the explanation of all those elementary manifestations of nature which involve time."

                                                                                                                                                                                                                                                           -Marius Sophus Lie- 

03.05.2012 13:27