变系数(2+1)维非线性薛定谔方程中奇异结构孤子(英文) 被引量：2

Special soliton structures in (2+1)-dimensional nonlinear Schrdinger equation with variable nonlinearity coefficient

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摘要基于Hirota双线性方法,得到了(2+1)维变非线性系数薛定谔方程的一个孤子解。数值模拟与解析解的一致性表明,在圆柱对称的坐标系中,这种克尔型孤子形成了一类新的涡流型的空间孤子簇。这些孤子的传输是稳定的,独立于传输距离。 A soliton solution to （2＋1）-dimensional nonlinear SchrSdinger equation with variable nonlin- earity coefficients based on Hirota bilinear method was obtained. The results indicate that a new family of vortex solitons can be formed in the Kerr nonlinear media in the cylindrical symmetric geometry. These soliton profiles are stable, independent of propagation distance.

作者徐四六陈顺芳孙运周

机构地区湖北科技学院电子与信息工程学院武汉纺织大学光电学院

出处《量子电子学报》 CAS CSCD 北大核心 2013年第3期335-340,共6页 Chinese Journal of Quantum Electronics

基金 Supported by the National Natural Science Foundation under Grant(11147180) Science and Technology Agency Foundation of Hubei Province under Grant(2011CDC005,D20122804)

关键词非线性光学涡旋孤子 HIROTA双线性方法非线性薛定谔方程 nonlinear optics vortex soliton Hirota bilinear method nonlinear SchrSdinger equation

分类号 O437 [机械工程—光学工程] TN929.11 [电子电信—通信与信息系统]

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1Berg5 L. Stability criterion for attractive Bose-Einstein condensates [J]. Phys. Rev. Lett., 1998, 303: 259-263.
2Abdullaev F Kh, Salerno I. Gap-Townes solitons and localized excitations in low-dimensional Bose-Einstein condensates in optical latti(:es [J]. Phys. Rev. A, 2005, 72: 033617-033629.
3Towers I, hlalomed B A. Stable (2+l)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearit:T [J]. J. Opt. Soc. Am. B, 2002, 19(3): 537-543.
4Christian J M, McDonald G S, et al. Bistable dark solitons of a cubic-quintic Helmholtz equation [J]. Phys. Rev. A, 2010, 81: 053831-053839.
5Skarka V, Aleksi5 N B, Leblond H, et al. Varieties of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses [J]. Phys. Rev. Lett., 2010, 105: 213901-213905.
6Marini A, Gorbach A V, Skryabin D V. Coupled-mode approach to surface plasmon polaa'itons in nonlinear periodic structures [J]. Opt. Lett., 2{}10, 35(20): 3532-3534.
7Burlak G, Malomed B A. Matter-wave solitons with the minimum number of particles in two-dimensional quasiperiodic potentials [J]. Phys. Rev. E, 2012, 85: 057601-057606.
8Smith N J, Knox F M, Doran N J, et al. Enhanced power solitons in optical fibres with periodic dispersion management [J]. Electron. Left., 1996, 32: 54-55.
9Abdullaev F Kh, Baizakov B B, Salerno M. Stable two-dimensional dispersion-managed soliton [J]. Phys. Rev. E, 2003, 68: 066605-066609.
10Ablowitz M, Musslimani Z. Discrete diffraction managed spatial solitons [J]. Phys. Rev. Lett., 2001 87: 254102- 254106.