Dr. Sevdzhan Hakkaev
Department of Mathematics
University of Kansas, Lawrence, USA
Lecturer
Email: shakkaev@fmi.shubg.net
Qualifications
Ph.D., Shumen University, Bulgaria
M.S., Shumen University, Bulgaria
B.S., Shumen University, Bulgaria
Publications (Selected)

S. Hakkaev, K. Kirchev, “Stability and
instability of traveling waves solutions of complex BenjaminBonaMahony type”,
Proc. of the Bulgarian Academy of Sciences 55(2001), 1722.

S. Hakkaev, K. Kirchev ,“Positivity properties
and stability of solitary waves of BenjaminBonaMahony type”, Proc. of the
Bulgarian Academy of Sciences 55(2001), 510.

S. Hakkaev, Zh.Zhelev, R.Nickolov
“Subscalarity of a class of operators”, Mathematica Balcanika, 17(2003),
231238.

S. Hakkaev, “Stability and instability of
solitary wave solutions of a nonlinear dispersive system of
BenjaminBonaMahony type”, Serdica Math.J. 29(2003), 337354.

S. Hakkaev, “Instability of solitary wave
solutions of a class of nonlinear dispersive systems”, Annuaire de L’universite
de Sofia, 96(2004), 105115.

S. Hakkaev, “Scattering of small solutions of
symmetric regularizedlongwave equation”, Applications Math. (Warsaw),
31(2004), 313320.

S. Hakkaev, K. Kirchev , “Local
wellposedness and orbital stability of solitary wave solutions for the
generalized CamassaHolm equation”, Communications in Partial Differential
Equations, 30(2005), 761781.

S. Hakkaev, “Stability of peakons for an
integrable shallow water equation”, Physics Letters A, 354(2006), 137144.

S. Hakkaev, K. Kirchev , “On the
wellposedness and stability of peakons for a generalized CamassaHolm
equation” , International Journal of Nonlinear Science, 3(2006), 139148.

S. Hakkaev, K. Kirchev , “Stability of
solitary wave solutions of nonlinear dispersive system in a critical case”,
Nonlinear Analysis TMA, 57(2007), 28902899.

S. Hakkaev, “Orbital stability of solitary
waves of the SchrodingerBoussinesq equation”, Commun. Pure Applied Analysis,
6(2007), 10431050.

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).

O. Christov, S. Hakkaev, “ On the inverse
scattering approach and actionangle variables for the DullinGottwaldHolm
equation”, Physica D, 238(2009), 919.

O. Christov, S. Hakkaev, “On the Cauchy
problem for the periodic bfamily of equations and of the nonuniform continuity
of DegasperisProcesi equation”, Journal of Mathematical Analysis and
Applications, 360(2009), 4756

S. Hakkaev, I. Iliev, K. Kirchev, “Stability
of periodic traveling waves for the complex modified Kortewegde Vries
Equation”, J. Differential Equations, 248(2010), 26082627

J. Angulo, S. Hakkaev, “Illposedness for
periodic nonlinear dispersive equations” , Electronic J. Differential
Equations, 119(2010), 119.

J. Angulo, A. Corcho, S. Hakkaev,
“Wellposedness and stability of the periodic nonlinear waves interactions for
the Benney system” (submitted).

S. Hakkaev, K. Kirchev, “Orbital stability
and instability of solitary waves for a class of dispersive symmetric
regularizedlongwave equation” (submitted).

O. Christov, S. Hakkaev, I. Iliev,
“Nonuniform continuity of periodic HomStaley bfamily of equations”,
(submitted)

“Transverse instability for periodic
traveling waves of KPI and Schrodinger equations” (with M. Stanislavova and A.
Stefanov) (submitted).

“Stability of periodic traveling waves for
nonlinear Schrodinger equation” (with I. Iliev and K. Kirchev) (in
preparation).
Profile Details
http://www.math.ku.edu/~shakkaev/
