Stability of topological solitons in modified two-component Ginzburg-Landau model
نویسندگان
چکیده
منابع مشابه
Discrete Ginzburg-Landau solitons.
We demonstrate that discrete solitons are possible in Ginzburg-Landau lattices. As a result of discreteness, we find that this system exhibits a host of features that have no counterpart whatsoever in either the continuous limit or in other conservative discrete models.
متن کاملSpatiotemporal surface Ginzburg-Landau solitons
Dumitru Mihalache, Dumitru Mazilu, Falk Lederer, and Yuri S. Kivshar Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, Magurele-Bucharest 077125, Romania Institute of Solid State Theory and Theoretical Optics, Friedrich-Schiller Universität Jena, Max-Wien-Platz 1, D-077743 Jena, Germany Nonlinear Physics Center and Center for Ultra-High Bandwidth D...
متن کاملStable vortex solitons in the two-dimensional Ginzburg-Landau equation.
In the framework of the complex cubic-quintic Ginzburg-Landau equation, we perform a systematic analysis of two-dimensional axisymmetric doughnut-shaped localized pulses with the inner phase field in the form of a rotating spiral. We put forward a qualitative argument which suggests that, on the contrary to the known fundamental azimuthal instability of spinning doughnut-shaped solitons in the ...
متن کاملOn compound vortices in a two-component Ginzburg-Landau functional
We study the structure of vortex solutions in a Ginzburg–Landau system for two complex valued order parameters. We consider the Dirichlet problem in the disk in R2 with symmetric, degree-one boundary condition, as well as the associated degree-one entire solutions in all of R2. Each problem has degree-one equivariant solutions with radially symmetric profile vanishing at the origin, of the same...
متن کاملStable Stationary Solitons of the One-Dimensional Modified Complex Ginzburg-Landau Equation
We report on the existence of a new family of stable stationary solitons of the one-dimensional modified complex Ginzburg-Landau equation. By applying the paraxial ray approximation, we obtain the relation between the width and the peak amplitude of the stationary soliton in terms of the model parameters. We verify the analytical results by direct numerical simulations and show the stability of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.79.065006