23 citations · 24 across the 3 of their papers we have counts for
3 papers
nlin.SI2011
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 Schrödinger equations in one space dimension.
nlin.SI2009★ 1 cited
Stability of periodic traveling waves for complex modified Korteweg-de Vries equation
Sevdzhan Hakkaev, Iliya D. Iliev, Kiril Kirchev
We study the existence and stability of periodic traveling-wave solutions for complex modified Korteweg-de Vries equation. We also discuss the problem of uniform continuity of the…
nlin.SI2007★ 23 cited
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 stability, we use the abstract…