Dr. Sevdzhan Hakkaev
Department of Mathematics
University of Kansas, Lawrence, USA
Lecturer
Email: shakkaev@fmi.shu-bg.net
Qualifications
Ph.D., Shumen University, Bulgaria
M.S., Shumen University, Bulgaria
B.S., Shumen University, Bulgaria
Publications (Selected)
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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.
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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.
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S. Hakkaev, Zh.Zhelev, R.Nickolov
“Subscalarity of a class of operators”, Mathematica Balcanika, 17(2003),
231-238.
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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.
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S. Hakkaev, “Instability of solitary wave
solutions of a class of nonlinear dispersive systems”, Annuaire de L’universite
de Sofia, 96(2004), 105-115.
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S. Hakkaev, “Scattering of small solutions of
symmetric regularized-long-wave equation”, Applications Math. (Warsaw),
31(2004), 313-320.
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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.
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S. Hakkaev, “Stability of peakons for an
integrable shallow water equation”, Physics Letters A, 354(2006), 137-144.
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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.
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S. Hakkaev, K. Kirchev , “Stability of
solitary wave solutions of nonlinear dispersive system in a critical case”,
Nonlinear Analysis TMA, 57(2007), 2890-2899.
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S. Hakkaev, “Orbital stability of solitary
waves of the Schrodinger-Boussinesq equation”, Commun. Pure Applied Analysis,
6(2007), 1043-1050.
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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).
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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.
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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
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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
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J. Angulo, S. Hakkaev, “Ill-posedness for
periodic nonlinear dispersive equations” , Electronic J. Differential
Equations, 119(2010), 1-19.
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J. Angulo, A. Corcho, S. Hakkaev,
“Well-posedness and stability of the periodic nonlinear waves interactions for
the Benney system” (submitted).
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S. Hakkaev, K. Kirchev, “Orbital stability
and instability of solitary waves for a class of dispersive symmetric
regularized-long-wave equation” (submitted).
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O. Christov, S. Hakkaev, I. Iliev,
“Non-uniform continuity of periodic Hom-Staley b-family of equations”,
(submitted)
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“Transverse instability for periodic
traveling waves of KP-I and Schrodinger equations” (with M. Stanislavova and A.
Stefanov) (submitted).
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“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/