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Multi-stable dissipative structures pinned to dual hot spots
Cheng Hou Tsang, Boris A. Malomed, Kwok Wing Chow
We analyze the formation of one-dimensional localized patterns in a nonlinear dissipative medium including a set of two narrow "hot spots" (HSs), which carry the linear gain, local…
Symmetric and asymmetric solitons trapped in H-shaped potentials
Nguyen Viet Hung, Marek Trippenbach, Boris A. Malomed
We report results of numerical and analytical studies of the spontaneous symmetry breaking in solitons, both two- and one-dimensional, which are trapped in H-shaped potential profi…
Transfer and scattering of wave packets by a nonlinear trap
Kai Li, P. G. Kevrekidis, Boris A. Malomed +1
In the framework of a one-dimensional model with a tightly localized self-attractive nonlinearity, we study the formation and transfer (dragging) of a trapped mode by "nonlinear tw…
Self-trapping and splitting of bright vector solitons under inhomogeneous defocusing nonlinearities
Yaroslav V. Kartashov, Victor A. Vysloukh, Lluis Torner +1
We show that bimodal systems with a spatially nonuniform defocusing cubic nonlinearity, whose strength grows toward the periphery, can support stable two-component solitons. For a…
Stabilization of solitons in PT models with supersymmetry by periodic management
R. Driben, B. A. Malomed
We introduce a system based on dual-core nonlinear waveguides with the balanced gain and loss acting separately in the cores. The system features a "supersymmetry" when the gain an…
Dynamics of bright solitons and soliton arrays in the nonlinear Schrodinger equation with a combination of random and harmonic potentials
Qian-Yong Chen, Panayotis G. Kevrekidis, Boris A. Malomed
We report results of systematic simulations of the dynamics of solitons in the framework of the one-dimensional nonlinear Schrödinger equation (NLSE), which includes the harmonic-o…