Truncated-Bloch-wave solitons in nonlinear fractional periodic systems

Journal Article · Wed May 15 04:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.02.017· OSTI ID:22848497

Dong, Liangwei ^[1]; Tian, Zhaoxia ^[2]

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1. Department of Physics, Shaanxi University of Science & Technology, Xi’an, 710021 (China)
2. Department of Physics of Zhejiang Normal University, Jinhua, 321004 (China)

We address the existence and stability properties of localized truncated-Bloch-wave solitons in one-dimensional nonlinear fractional Schrödinger equation with an optical lattice. Under a defocusing nonlinearity, extended nonlinear Bloch waves with finite amplitudes bifurcate from linear Bloch modes at band edges. The variation of Lévy index has a profound impact on the existence, profile, power and stability of nonlinear modes. Truncated-Bloch-wave solitons with different number of units are found in finite bandgaps. The main body of truncated-Bloch-wave soliton coincides exactly with the corresponding nonlinear Bloch wave. While solitons residing in the second gap propagate stably in a narrow region, nonlinear states in the first gap are stable in almost their whole existence domains. Specially, the instability of solitons can be significantly suppressed by the decrease of Lévy index.

• OSTI ID: 22848497
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 404; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLOCH EQUATIONS
INSTABILITY
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERIODIC SYSTEM
SCHROEDINGER EQUATION
SOLITONS