园型边界条件下强非局域非线性介质的二维空间孤子

journal6 ›› 2010, Vol. 31 ›› Issue (3): 47-50.

园型边界条件下强非局域非线性介质的二维空间孤子

（咸宁学院电子与信息工程学院，湖北咸宁 437005）

出版日期:2010-05-25 发布日期:2012-04-17
作者简介:徐四六（1969-），男，湖北咸宁人，湖北咸宁学院物理系副教授，博士，主要从事光学空间孤子和数值模拟研究.
基金资助:
咸宁学院理科基金资助项目（KY0717）

Two-Dimensional Spacial Soliton Clusters Under the Circular Boundary in Strongly Nonlocal Nonlinear Media

(School of Electronics and Information Engineering，Xianning College,Hubei 437005,China)

Online:2010-05-25 Published:2012-04-17

摘要/Abstract

摘要：利用自相似技术求解在强非局域非线性条件下的（2+1）维非线性薛定谔方程，从中得到1个精确的贝塞尔(Bessel)解析解，其结果表明：这种贝塞尔孤子形成了一类空间孤子簇.

关键词： 空间光孤子, 自相似技术, 强非局域非线性

Abstract: The 2D strongly nonlocal nonlinear Schro dinger equation model is studied.Then based on a self-similar method,the model is solved in polar coordinate system.It is found that there exists a class of Bessel soliton clusters that propagate in a self-similar manner.Furthermore,a family of new spatial solitary waves has been found.

Key words: spatial solitons, self-similar, strong nonlocal nonlinear

徐四六, 陈顺芳. 园型边界条件下强非局域非线性介质的二维空间孤子[J]. journal6, 2010, 31(3): 47-50.

XU Si-Liu, CHEN Shun-Fang. Two-Dimensional Spacial Soliton Clusters Under the Circular Boundary in Strongly Nonlocal Nonlinear Media[J]. journal6, 2010, 31(3): 47-50.

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