One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: nonlinear lattice
نویسندگان
چکیده
منابع مشابه
Solitons and vortices in two-dimensional discrete nonlinear Schrödinger systems with spatially modulated nonlinearity.
We consider a two-dimensional (2D) generalization of a recently proposed model [Gligorić et al., Phys. Rev. E 88, 032905 (2013)], which gives rise to bright discrete solitons supported by the defocusing nonlinearity whose local strength grows from the center to the periphery. We explore the 2D model starting from the anticontinuum (AC) limit of vanishing coupling. In this limit, we can construc...
متن کاملStable dipole solitons and soliton complexes in the nonlinear Schrödinger equation with periodically modulated nonlinearity.
We develop a general classification of the infinite number of families of solitons and soliton complexes in the one-dimensional Gross-Pitaevskii/nonlinear Schrödinger equation with a nonlinear lattice pseudopotential, i.e., periodically modulated coefficient in front of the cubic term, which takes both positive and negative local values. This model finds direct implementations in atomic Bose-Ei...
متن کاملForced nonlinear Schrödinger equation with arbitrary nonlinearity.
We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalar-scalar self-interaction g(2)/κ+1(ψ*ψ)(κ+1) in the presence of the external forcing terms of the form re(-i(kx+θ))-δψ. We find new exact solutions for this problem and show that the solitary wave momentum is conserved in a moving frame where v(k)=2k. These new exact solutions reduce to the constant phase solutions...
متن کاملResonant nonlinearity management for nonlinear Schrödinger solitons.
We consider effects of a periodic modulation of the nonlinearity coefficient on fundamental and higher-order solitons in the one-dimensional NLS equation, which is an issue of direct interest to Bose-Einstein condensates in the context of the Feshbach-resonance control, and fiber-optic telecommunications as concerns periodic compensation of the nonlinearity. We find from simulations, and explai...
متن کاملQuasi-periodic Solutions for One-Dimensional Nonlinear Lattice Schrödinger Equation with Tangent Potential
In this paper, we construct time quasi-periodic solutions for the nonlinear lattice Schrödinger equation iq̇n + (qn+1 + qn−1) + tanπ(nα̃+ x)qn + |qn|qn = 0, n ∈ Z, where α̃ satisfies a certain Diophantine condition and x ∈ R/Z. We prove that for sufficiently small, the equation admits a family of small-amplitude time quasi-periodic solutions for “most” of x belonging to R/Z.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optics Letters
سال: 2019
ISSN: 0146-9592,1539-4794
DOI: 10.1364/ol.44.002661