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13 papers · 2 filters
Composite vortices in nonlinear circular waveguide arrays
Daniel Leykam, Boris Malomed, Anton S. Desyatnikov
It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero,…
Stable dark solitons in PT-symmetric dual-core waveguides
Yuliy V. Bludov, Vladimir V. Konotop, Boris A. Malomed
We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realiza…
Asymmetric solitons and domain walls supported by inhomogeneous defocusing nonlinearity
Yaroslav V. Kartashov, Valery E. Lobanov, Boris A. Malomed +1
We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asy…
Propagation and collisions of semi-discrete solitons in arrayed and stacked waveguides
Roy Blit, Boris A. Malomed
We consider shapes and dynamics of semi-discrete solitons (SDSs) in the known model of the set of linearly-coupled waveguides with the intrinsic cubic nonlinearity. The model appli…
Pinned modes in lossy lattices with local gain and nonlinearity
Boris A. Malomed, Edwin Ding, K. W. Chow +1
We introduce a discrete linear lossy system with an embedded "hot spot" (HS), i.e., a site carrying linear gain and complex cubic nonlinearity. The system can be used to model an a…
Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
Jianhua Zeng, Boris A. Malomed
It has been recently demonstrated that self-defocusing (SDF) media with the cubic nonlinearity, whose local coefficient grows from the center to periphery fast enough, support stab…