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Interaction of a soliton with a local defect in a fiber Bragg grating
William C. K. Mak, Pak L. Chu, Boris A. Malomed
We study the interactions of a Bragg-grating soliton with a localized attractive defect which is a combined perturbation of the grating and refractive index. A family of exact anal…
Interaction of a soliton with a localized gain in a fiber Bragg grating
William C. K. Mak, Pak L. Chu, Boris A. Malomed
A model of a lossy nonlinear fiber grating with a "hot spot", which combines a local gain and an attractive perturbation of the refractive index, is introduced. A family of exact s…
Stable two-dimensional solitary pulses in linearly coupled dissipative Kadomtsev-Petviashvili equations
Bao-Feng Feng, Boris A. Malomed, Takuji Kawahara
A two-dimensional (2D) generalization of the stabilized Kuramoto - Sivashinsky (KS) system is presented. It is based on the Kadomtsev-Petviashvili (KP) equation including dissipati…
Solitons in Bose-Einstein condensates trapped in a double-well potential
Valery S. Shchesnovich, Boris A. Malomed, Roberto A. Kraenkel
We investigate, analytically and numerically, families of bright solitons in a system of two linearly coupled nonlinear Schrodinger/Gross-Pitaevskii equations, describing two Bose-…
Solitons in coupled Ablowitz-Ladik chains
Boris A. Malomed, Jianke Yang
A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric state…
Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel +1
We consider, by means of the variational approximation (VA) and direct numerical simulations of the Gross-Pitaevskii (GP) equation, the dynamics of 2D and 3D condensates with a sca…