Kiril Kirchev
Bulgarian Academy of Sciences
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Publication
Featured researches published by Kiril Kirchev.
Communications in Partial Differential Equations | 2005
Sevdzhan Hakkaev; Kiril Kirchev
ABSTRACT We establish local well-posedness in the Sobolev space H s with any for the generalized Camassa–Holm equation. Furthermore, we consider the stability and instability problem of the solitary wave solutions.
Journal of Physics A | 2008
Sevdzhan Hakkaev; Iliya D. Iliev; Kiril Kirchev
We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin–Bona–Mahony and Camassa–Holm equations. To prove orbital stability, we use the abstract results of Grillakis–Shatah–Strauss and the Floquet theory for periodic eigenvalue problems.
International Journal of Bifurcation and Chaos | 2013
Sevdzhan Hakkaev; Iliya D. Iliev; Kiril Kirchev
We study the existence and stability of periodic traveling-wave solutions for the quadratic and cubic nonlinear Schrodinger equations in one space dimension.
Archive | 1994
Iliya D. Iliev; E. Kh. Khristov; Kiril Kirchev
Archive | 2006
Sevdzhan Hakkaev; Kiril Kirchev
Differential and Integral Equations | 1993
Iliya D. Iliev; Kiril Kirchev
Journal of Differential Equations | 2010
Sevdzhan Hakkaev; Iliya D. Iliev; Kiril Kirchev
Serdica. Mathematical Journal | 2005
Kiril Kirchev; Galina S. Borisova
Nonlinear Analysis-theory Methods & Applications | 2007
Sevdzhan Hakkaev; Kiril Kirchev
Integral Equations and Operator Theory | 2007
Kiril Kirchev; Galina S. Borisova