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Self-trapped spatially localized states in combined linear-nonlinear periodic potentials.
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In this paper, the existence and stability of self-trapped spatially localized gap modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional optical or matter-wave media with self-focusing nonlinearity, supported by a combination of linear and nonlinear periodic lattice potentials was analyzed.Abstract:
We analyze the existence and stability of two kinds of self-trapped spatially localized gap modes, gap solitons and truncated nonlinear Bloch waves, in one-and two-dimensional optical or matter-wave media with self-focusing nonlinearity, supported by a combination of linear and nonlinear periodic lattice potentials. The former is found to be stable once placed inside a single well of the nonlinear lattice, it is unstable otherwise. Contrary to the case with constant self-focusing nonlinearity, where the latter solution is always unstable, here, we demonstrate that it nevertheless can be stabilized by the nonlinear lattice since the model under consideration combines the unique properties of both the linear and nonlinear lattices. The practical possibilities for experimental realization of the predicted solutions are also discussed.read more
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New Editor-in-Chief for Journal of Physics A: Mathematical and Theoretical
TL;DR: The Journal of Physics A: Mathematical and Theoretical journal as mentioned in this paper has a new editor-in-chief, Martin Evans, who has been editor of the Statistical Physics section of the journal since 2009.
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Preventing critical collapse of higher-order solitons by tailoring unconventional optical diffraction and nonlinearities
Liangwei Zeng,Jianhua Zeng +1 more
TL;DR: In this article, a nonlinear fractional Schrodinger equation with attractive-repulsive cubic-quintic nonlinearity and an optical lattice is combined to predict regimes of stability for different soliton families.
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One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schr\"{o}dinger equations with a periodically modulated linear potential
Liangwei Zeng,Jianhua Zeng +1 more
TL;DR: In this paper, an external periodic potential (linear lattice) was incorporated into the cubic-quintic model and extended it to the space-fractional scenario that begins to surface in very recent years, therefore obtaining the cubic or purely quintic NLFSE, and investigate the propagation and stability properties of self-trapped modes therein.
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1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives
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Dark matter-wave gap solitons in dense ultracold atoms trapped by a one-dimensional optical lattice
Jiawei Li,Jiawei Li,Jianhua Zeng +2 more
TL;DR: In this paper, the formation, structures, and properties of dark gap solitons in quintic nonlinearity have been compared to those upheld by cubic Kerr non-linearity.
References
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TL;DR: In this article, the authors introduce spatial and temporal solitons in photonic crystals, and introduce the concept of Incoherent Solitons, which is a subclass of the spatial and temporally soliton.