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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…