Fully Localized Two-dimensional Embedded Solitons

Abstract

We report the first prediction of fully localized two-dimensional embedded solitons. These solitons are obtained in a quasi-one-dimensional waveguide array which is periodic along one spatial direction and localized along the orthogonal direction. Under appropriate nonlinearity, these solitons are found to exist inside the Bloch bands (continuous spectrum) of the waveguide, and thus are embedded solitons. These embedded solitons are fully localized along both spatial directions. In addition, they are fully stable under perturbations. These results show that multidimensional embedded solitons may find applications just like non-embedded (regular) solitons.

5 pages, 5 figures

References in corpus (4)

• Bifurcations and stability of gap solitons in periodic potentials
• Bound states in the continuum in a single-level Fano-Anderson model
• Spontaneous soliton symmetry breaking in two-dimensional coupled Bose-Einstein condensates supported by optical lattices
• Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical lattices

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• Two-dimensional intra-band solitons in lattice potentials with local defects and self-focusing nonlinearity
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion
• Stable symmetry-protected 3D embedded solitons in Bose-Einstein condensates
• Self-trapped leaky waves in lattices: discrete and Bragg soleakons