变系数（2+1）维非线性薛定谔方程中奇异结构孤子

J4 ›› 2013, Vol. 30 ›› Issue (3): 335-340.

变系数（2+1）维非线性薛定谔方程中奇异结构孤子

徐四六，陈顺芳，孙运周

1湖北科技学院电子与信息工程学院，湖北咸宁 437100； 2 武汉纺织大学光电学院，湖北武汉 430073

收稿日期:2012-10-24 修回日期:2012-12-04 出版日期:2013-05-28 发布日期:2013-05-06
通讯作者: 徐四六（1969-），湖北咸宁人，光学博士，副教授，主要研究方向为光纤通信，非线性光学和量子光学。 E-mail:xusiliu@yahoo.com.cn
基金资助:
国家自然科学基金（11147180），湖北省自然科学基金（2011CDC005），湖北省教育厅项目资助（D20122804）

Special soliton structures in the (2+1)-dimensional nonlinear Schrodinger equation with variable nonlinearity coefficient

XU Si-liu，CHEN Shun-fang，SUN Yun-zhou

1 School of Electronic and Information Engineering, HuBei University of Science and Technology, Xianning 437100, China； 2 Department of Photoelectricity,Wuhan textile university,Wuhan 430073,China

Received:2012-10-24 Revised:2012-12-04 Published:2013-05-28 Online:2013-05-06

摘要/Abstract

摘要： 基于双线性方法，我们得到 (2 + 1)维变非线性系数的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。我们发现这些孤子的传输是稳定的,独立于传输距离。

关键词: 非线性光学, 涡旋孤子, 双线性算法, 非线性薛定谔方程

Abstract: A soliton solution to (2+1)-dimensional nonlinear Schrodinger equation with variable nonlinearity coefficients based on Hirota bilinear Method is gotten. Our 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.

Key words: nonlinear optics, vortex soliton, Hirota bilinear method, nonlinear Schrodinger equation

中图分类号:

徐四六，陈顺芳，孙运周. 变系数（2+1）维非线性薛定谔方程中奇异结构孤子[J]. J4, 2013, 30(3): 335-340.

XU Si-liu，CHEN Shun-fang，SUN Yun-zhou. Special soliton structures in the (2+1)-dimensional nonlinear Schrodinger equation with variable nonlinearity coefficient[J]. J4, 2013, 30(3): 335-340.

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