Nonlocal gap solitons inPT-symmetric periodic potentials with defocusing nonlinearity
نویسندگان
چکیده
منابع مشابه
Moving gap solitons in periodic potentials
We address existence of moving gap solitons (traveling localized solutions) in the Gross-Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit localized solutions of the coupled-mode system. We show however that exponentially decaying traveling solutions of the Gross-Pitaevskii equation do not generally exist in the presence of a periodic pote...
متن کاملExponential Asymptotics for Solitons in PT -Symmetric Periodic Potentials
Solitons in one-dimensional parity-time (PT )-symmetric periodic potentials are studied using exponential asymptotics. The new feature of this exponential asymptotics is that, unlike conservative periodic potentials, the inner and outer integral equations arising in this analysis are both coupled systems due to complex-valued solitons. Solving these coupled systems, we show that two soliton fam...
متن کاملBragg solitons in nonlinear PT -symmetric periodic potentials
Mohammad-Ali Miri1,∗, Alejandro B. Aceves, Tsampikos Kottos, Vassilios Kovanis, and Demetrios N. Christodoulides CREOL/College of Optics, University of Central Florida, Orlando, Florida 32816, USA Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA Air Force Research Laboratory, Sensors Di...
متن کاملBifurcations and stability of gap solitons in periodic potentials.
We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrödinger equation with a sinusoidal potential, such as photonic crystals, waveguide arrays, optically-induced photonic lattices, and Bose-Einstein condensates loaded onto an optical lattice. We study bifurcations of gap solitons from the band edges of the Floquet-B...
متن کامل1 3 Ju n 20 09 Bifurcation of gap solitons in periodic potentials with a sign - varying nonlinearity coefficient
We address the Gross–Pitaevskii (GP) equation with a periodic linear potential and a periodic sign-varying nonlinearity coefficient. Contrary to the claims in the previous works of Abdullaev et al. [PRE 77, 016604 (2008)] and Smerzi & Trombettoni [PRA 68, 023613 (2003)], we show that the intersite cubic nonlinear terms in the discrete nonlinear Schrödinger (DNLS) equation appear beyond the appl...
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: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.89.013812