- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

Propagation of beams in strongly nonlocal nonlinear medium with an elliptically symmetric response is investigated. The result shows that the propagation of beams in this type of medium can be regarded as two-dimensional asynchronous fractional Fourier transform. With this powerful mathematical tool, the analytical solution and the propagation properties of beams can be conveniently obtained. Based on the properties of the two-dimensional asynchronous fractional Fourier transform, the general propagation properties of beams are discussed, the formation conditions of solitons and two-dimensional asynchronous breathers are analyzed, and the law for interaction among solitons and/or breathers is obtained.

Keywords:

Authors and contacts

Lu Da-Quan,
Hu Wei

1.
Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 10804033, 11174090, 1174091) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200805740002)．

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]

Cited By

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]

[1]	Yao Hui, Zhang Hai-Qiang, Xiong Wei-Yue.Breathers of Gerdjikov-Ivanov equation under background of elliptic function. Acta Physica Sinica, 2024, 73(4): 040201.doi:10.7498/aps.73.20231590
[2]	Sun Bin, Zhao Li-Chen, Liu Jie.Dirac magnetic monopoles potential in the nonlinear double-soliton interference. Acta Physica Sinica, 2023, 72(10): 100501.doi:10.7498/aps.72.20222416
[3]	Wen Lin, Liang Yi, Zhou Jing, Yu Peng, Xia Lei, Niu Lian-Bin, Zhang Xiao-Fei.Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates. Acta Physica Sinica, 2019, 68(8): 080301.doi:10.7498/aps.68.20182013
[4]	Liu Hao-Hua, Wang Shao-Hua, Li Bo-Bo, Li Hua-Lin.Defect induced asymmetric soliton transmission in the nonlinear circuit. Acta Physica Sinica, 2017, 66(10): 100502.doi:10.7498/aps.66.100502
[5]	Shi Lan-Fang, Zhu Min, Zhou Xian-Chun, Wang Wei-Gang, Mo Jia-Qi.The solitary traveling wave solution for a class of nonlinear evolution equations. Acta Physica Sinica, 2014, 63(13): 130201.doi:10.7498/aps.63.130201
[6]	Lu Da-Quan, Duan Qiu-Ling, Zhan Qiang.Influence of the longitudinal shift of the entrance plane on the propagation properties of beams in strongly nonlocal nonlinear medium. Acta Physica Sinica, 2013, 62(12): 124205.doi:10.7498/aps.62.124205
[7]	Lu Da-Quan, Hu Wei.Breather for weak beam induced by strong beam in strongly nonlocal nonlinear medium. Acta Physica Sinica, 2013, 62(3): 034205.doi:10.7498/aps.62.034205
[8]	Lin Wan-Tao, Chen Li-Hua, Ouyang Cheng, Mo Jia-Qi.Asymptotic solving method of soliton for El Nio/La Nia-southern oscillation nonlinear disturbed model. Acta Physica Sinica, 2012, 61(8): 080204.doi:10.7498/aps.61.080204
[9]	Wu Qin-Kuan.Variational iteration solution method of soliton for a class of nonlinear disturbed Burgers equation. Acta Physica Sinica, 2012, 61(2): 020203.doi:10.7498/aps.61.020203
[10]	Chen Li-Xia, Lu Da-Quan, Hu Wei, Yang Zhen-Jun, Cao Wei-Wen, Zheng Rui, Guo Qi.Propagation of complex argument Laguerre-Gaussian beams in strongly nonlocal nonlinear media. Acta Physica Sinica, 2010, 59(4): 2537-2545.doi:10.7498/aps.59.2537
[11]	Xu Si-Liu, Liu Hui-Ping, Yi Lin.Two-dimensional Kummer-Gaussian soliton clusters in strongly nonlocal nonlinear media. Acta Physica Sinica, 2010, 59(2): 1069-1074.doi:10.7498/aps.59.1069
[12]	Shi Lan-Fang, Mo Jia-Qi.Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation. Acta Physica Sinica, 2009, 58(12): 8123-8126.doi:10.7498/aps.58.8123
[13]	Yang Ping-Bao, Cao Long-Gui, Hu Wei, Zhu Ye-Qing, Guo Qi, Yang Xiang-Bo.Interactions between strong nonlocal optical spatial solitons in nematic liquid crystals. Acta Physica Sinica, 2008, 57(1): 285-290.doi:10.7498/aps.57.285
[14]	Mo Jia-Qi, Zhang Wei-Jiang, He Ming.The variational iteration method for the soliton solution of nonlinear generalized Landau-Ginzburg-Higgs equation. Acta Physica Sinica, 2007, 56(4): 1847-1850.doi:10.7498/aps.56.1847
[15]	Long Xue-Wen, Hu Wei, Zhang Tao, Guo Qi, Lan Sheng, Gao Xi-Cun.Theoretical investigation of propagation of nonlocal spatial soliton in nematic liquid crystals. Acta Physica Sinica, 2007, 56(3): 1397-1403.doi:10.7498/aps.56.1397
[16]	Xu Quan, Tian Qiang.The interaction of excitons with phonons and solution of breathers in one-dimensional molecular chain. Acta Physica Sinica, 2004, 53(9): 2811-2815.doi:10.7498/aps.53.2811
[17]	Xu Yan, Xue De-Sheng, Zuo Wei, Li Fa-Shen.Nonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropy. Acta Physica Sinica, 2003, 52(11): 2896-2900.doi:10.7498/aps.52.2896
[18]	Hong Xue-Ren, Duan Wen-Shan, Sun Jian-An, Shi Yu-Ren, Lü Ke-Pu.The propagation of solitons in an inhomogeneous dusty plasma. Acta Physica Sinica, 2003, 52(11): 2671-2677.doi:10.7498/aps.52.2671
[19]	Wang Xiao-Sheng, She Wei-Long.. Acta Physica Sinica, 2002, 51(3): 573-577.doi:10.7498/aps.51.573
[20]	Wei Qing, Wang Qi, Shi Jie-Long, Chen Yuan-Yuan.. Acta Physica Sinica, 2002, 51(1): 99-103.doi:10.7498/aps.51.99

Catalog

Vol. 62, Issue 8 - 2013-04-20

Metrics

Abstract views:5746
PDF Downloads:355
Cited By:0

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About