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Dive into the research topics where Kiril Kirchev is active.

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Featured researches published by Kiril Kirchev.


Communications in Partial Differential Equations | 2005

Local Well-Posedness and Orbital Stability of Solitary Wave Solutions for the Generalized Camassa–Holm Equation

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

Stability of periodic travelling shallow-water waves determined by Newton's equation

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

STABILITY OF PERIODIC TRAVELING WAVES FOR THE QUADRATIC AND CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

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

Spectral methods in soliton equations

Iliya D. Iliev; E. Kh. Khristov; Kiril Kirchev


Archive | 2006

On the Well-posedness and Stability of Peakons for a Generalized Camassa-Holm Equation

Sevdzhan Hakkaev; Kiril Kirchev


Differential and Integral Equations | 1993

Stability and instability of solitary waves for one-dimensional singular Schrödinger equations

Iliya D. Iliev; Kiril Kirchev


Journal of Differential Equations | 2010

Stability of periodic traveling waves for complex modified Korteweg–de Vries equation

Sevdzhan Hakkaev; Iliya D. Iliev; Kiril Kirchev


Serdica. Mathematical Journal | 2005

Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators

Kiril Kirchev; Galina S. Borisova


Nonlinear Analysis-theory Methods & Applications | 2007

Stability of solitary waves for a nonlinear dispersive system in a critical case

Sevdzhan Hakkaev; Kiril Kirchev


Integral Equations and Operator Theory | 2007

Regular Couplings of Dissipative and Anti-Dissipative Unbounded Operators, Asymptotics of the Corresponding Non-Dissipative Processes and the Scattering Theory

Kiril Kirchev; Galina S. Borisova

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Iliya D. Iliev

Bulgarian Academy of Sciences

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