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Dr. Sevdzhan Hakkaev

Department of Mathematics

University of Kansas, Lawrence, USA


Email: shakkaev@fmi.shu-bg.net


Ph.D., Shumen University, Bulgaria

M.S., Shumen University, Bulgaria

B.S., Shumen University, Bulgaria

Publications (Selected)

  1. S. Hakkaev, K. Kirchev, “Stability and instability of traveling waves solutions of complex Benjamin-Bona-Mahony type”, Proc. of the Bulgarian Academy of Sciences 55(2001), 17-22.
  2. S. Hakkaev, K. Kirchev ,“Positivity properties and stability of solitary waves of Benjamin-Bona-Mahony type”, Proc. of the Bulgarian Academy of Sciences 55(2001), 5-10.
  3. S. Hakkaev, Zh.Zhelev, R.Nickolov “Subscalarity of a class of operators”, Mathematica Balcanika, 17(2003), 231-238.
  4. S. Hakkaev, “Stability and instability of solitary wave solutions of a nonlinear dispersive system of Benjamin-Bona-Mahony type”, Serdica Math.J. 29(2003), 337-354.
  5. S. Hakkaev, “Instability of solitary wave solutions of a class of nonlinear dispersive systems”, Annuaire de L’universite de Sofia, 96(2004), 105-115.
  6. S. Hakkaev, “Scattering of small solutions of symmetric regularized-long-wave equation”, Applications Math. (Warsaw), 31(2004), 313-320.
  7. S. Hakkaev, K. Kirchev , “Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa-Holm equation”, Communications in Partial Differential Equations, 30(2005), 761-781.
  8. S. Hakkaev, “Stability of peakons for an integrable shallow water equation”, Physics Letters A, 354(2006), 137-144.
  9. S. Hakkaev, K. Kirchev , “On the well-posedness and stability of peakons for a generalized Camassa-Holm equation” , International Journal of Nonlinear Science, 3(2006), 139-148.
  10. S. Hakkaev, K. Kirchev , “Stability of solitary wave solutions of nonlinear dispersive system in a critical case”, Nonlinear Analysis TMA, 57(2007), 2890-2899.
  11. S. Hakkaev, “Orbital stability of solitary waves of the Schrodinger-Boussinesq equation”, Commun. Pure Applied Analysis, 6(2007), 1043-1050.
  12. S. Hakkaev, I. Iliev, K. Kirchev, “Stability of periodic traveling shallow water waves determined by Newton’s equation”, Journal of Physics A: Mathematical and Theoretical, 41(2008), 085203, 31(an article chosen for IOP Select).
  13. O. Christov, S. Hakkaev, “ On the inverse scattering approach and action-angle variables for the Dullin-Gottwald-Holm equation”, Physica D, 238(2009), 9-19.
  14. O. Christov, S. Hakkaev, “On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis-Procesi equation”, Journal of Mathematical Analysis and Applications, 360(2009), 47-56
  15. S. Hakkaev, I. Iliev, K. Kirchev, “Stability of periodic traveling waves for the complex modified Korteweg-de Vries Equation”, J. Differential Equations, 248(2010), 2608-2627
  16. J. Angulo, S. Hakkaev, “Ill-posedness for periodic nonlinear dispersive equations” , Electronic J. Differential Equations, 119(2010), 1-19.
  17. J. Angulo, A. Corcho, S. Hakkaev, “Well-posedness and stability of the periodic nonlinear waves interactions for the Benney system” (submitted).
  18. S. Hakkaev, K. Kirchev, “Orbital stability and instability of solitary waves for a class of dispersive symmetric regularized-long-wave equation” (submitted).
  19. O. Christov, S. Hakkaev, I. Iliev, “Non-uniform continuity of periodic Hom-Staley b-family of equations”, (submitted)
  20. “Transverse instability for periodic traveling waves of KP-I and Schrodinger equations” (with M. Stanislavova and A. Stefanov) (submitted).
  21. “Stability of periodic traveling waves for nonlinear Schrodinger equation” (with I. Iliev and K. Kirchev) (in preparation).

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