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具有饱和非线性的晶格中功率控制孤子的稳定性与操控

Power controlled soliton stability and steering in lattices with saturable nonlinearity.

作者信息

Hadzievski Ljupco, Maluckov Aleksandra, Stepić Milutin, Kip Detlef

机构信息

Vinca Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia and Montenegro.

出版信息

Phys Rev Lett. 2004 Jul 16;93(3):033901. doi: 10.1103/PhysRevLett.93.033901. Epub 2004 Jul 12.

DOI:10.1103/PhysRevLett.93.033901
PMID:15323822
Abstract

Dynamical properties of discrete solitons in nonlinear Schrödinger lattices with saturable nonlinearity are studied in the framework of the one-dimensional discrete Vinetskii-Kukhtarev model. Two stationary strongly localized modes, centered on site (A) and between two neighboring sites (B), are obtained. The associated Peierls-Nabarro potential is bounded and has multiple zeros indicating strong implications on the stability and dynamics of the localized modes. Besides a stable propagation of mode A, a stable propagation of mode B is also possible. The enhanced ability of the large power solitons to move across the lattice is pointed out and numerically verified.

摘要

在一维离散维涅茨基 - 库克塔廖夫模型的框架下,研究了具有饱和非线性的非线性薛定谔晶格中离散孤子的动力学性质。得到了两种静止的强局域模,一种以位点(A)为中心,另一种位于两个相邻位点之间(B)。相关的派尔斯 - 纳巴罗势是有界的,并且有多个零点,这对局域模的稳定性和动力学有强烈影响。除了模式A的稳定传播外,模式B也可能稳定传播。指出并通过数值验证了大功率孤子在晶格中移动能力的增强。

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