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Multi-channel pulse dynamics in a stabilized Ginzburg-Landau system
H. E. Nistazakis, D. J. Frantzeskakis, J. Atai +3
We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between t…
Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions
Jacob Scheuer, Boris A. Malomed
We study, analytically and numerically, the dynamical behavior of the solutions of the complex Ginzburg-Landau equation with diffraction but without diffusion, which governs the sp…
"Dispersion management" for solitons in a Korteweg-de Vries system
Simon Clarke, Boris A. Malomed, Roger Grimshaw
The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schrödinger equation with periodically modulated and sign-variable…
Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation
I. Towers, A. V. Buryak, R. A. Sammut +3
We investigate stability of (2+1)-dimensional ring solitons of the nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues o…
Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box
Yehuda B. Band, Boris Malomed, Marek Trippenbach
A simple model of an atomic Bose-Einstein condensate in a box whose size varies with time is studied to determine the nature of adiabaticity in the nonlinear dynamics obtained with…
Stabilized Kuramoto-Sivashinsky system
Boris Malomed, Bao-Feng Feng, Takuji Kawahara
A model consisting of a mixed Kuramoto - Sivashinsky - KdV equation, linearly coupled to an extra linear dissipative equation, is proposed. The model applies to the description of…