Laser & Optoelectronics Progress, Volume. 51, Issue 4, 40604(2014)

Several Methods for Solving Nonlinear Schr.dinger Equation

Yuan Baoyun* and Pang Jing
Author Affiliations
  • [in Chinese]
  • show less
    References(17)

    [1] [1] Li Zhibin. Travelling Wave Solutions of Nonlinear Mathematical Physics Equation[M]. Beijing: Science Press, 2007. 13-14.

    [2] [2] Liu Qing, Qin Yali, Li Jia, et al.. Intensity distribution of single soliton at focal plane in tight focusing system[J]. Laser & Optoelectronics Progress, 2013, 50(6): 061101.

    [5] [5] Jiefang Zhang, Chaoqing Dai. Bright and dark optical solitons in the nonlinear Schr.dinger equation with fourth-order

    [6] [6] Liu Shida, Fu Zuntao. The envelope periodic solutions to nonlinear wave equations with Jacobi elliptic function[J]. Acta Physica Sinica, 2002, 51(4): 718-722.

    [7] [7] Sun Meijuan, Shi Liangma, Han Xiulin. Solitary wave solutions for nonlinear Schr.dinger equation[J]. College Physics, 2011, 30(12): 8-11.

    [8] [8] Taogetusang, Sirendaoerji. New exact solitary wave solutions to the NLS and variant boussinesq equations[J]. J Inner Mongolia Normal University, 2005, 34(4): 390-397.

    [9] [9] Gao Xiuyun, Duan Wenshan. New exact solutions for nonlinear Schr.dinger equation[J]. J Northwest Normal University, 2008, 44(1): 43-46.

    [10] [10] Guo Peng, Chen Zongguang, Sun Xiaowei. A simple method for solving nonlinear Schr.dinger equation[J]. College Physics, 2010, 29(3): 12-13.

    [11] [11] Yan Jiayu, Pan Liuxian, Lu Jing. A certain critical two-soliton solution of the nonlinear Schr.dinger equation[J]. Chinese Physics, 2004, 13(4): 441-444.

    [12] [12] Wang Mingliang, Li Xiangzheng, Zhang Jinliang. The (G′/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics[J]. Phys Lett A, 2008, 372(4): 417-423.

    [13] [13] Xiao Yafeng, Xue Haili, Zhang Hongqing. A note on (G′/G) expansion method[J]. J Lanzhou University of Technology, 2011, 37(3): 164-166.

    [15] [15] Jiao Zhang, Xiaoli Wei, Yongjie Lu. A generalized (G′/G)-expansion method and its applications[J]. Phys Lett A, 2008, 372(20): 3653-3658.

    [16] [16] Xie Y X, Tang J S. New solitary wave solutions to the KdV-Burgers equation[J]. International J Theoretical Physics, 2005, 44(3): 304-312.

    [17] [17] Li Erqiang, Wang Mingliang. (G′/G)-method and travelling wave solutions to compound KdV-Burgers equation[J]. J Henan University of Science and Technology (Natural Science Edition), 2005, 41(4): 107-111.

    [18] [18] Taogetusang, Sirendaoerji. Solitary wave solutions to the nonlinear evolution equations with new auxiliary equation[J]. J Inner Mongolia University (Natural Science Edition), 2004, 35(3): 246-251.

    Tools

    Get Citation

    Copy Citation Text

    Yuan Baoyun, Pang Jing. Several Methods for Solving Nonlinear Schr.dinger Equation[J]. Laser & Optoelectronics Progress, 2014, 51(4): 40604

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Fiber Optics and Optical Communications

    Received: Nov. 26, 2013

    Accepted: --

    Published Online: Mar. 14, 2014

    The Author Email: Baoyun Yuan (285910572@qq.com)

    DOI:10.3788/lop51.040604

    Topics