Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method

doi:10.1088/1674-1056/19/6/060302

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60302-060302.doi: 10.1088/1674-1056/19/6/060302

Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method

陈勇¹, 张焕萍², 李彪²

(1)Institute of Theoretical Computing, East China Normal University, Shanghai 200062, China; (2)Nonlinear Science Center, Ningbo University, Ningbo 315211, China

收稿日期:2009-10-09 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10735030), Natural Science Foundation of Zhejiang Province of China (Grant No.~Y6090592), Natural Science Foundation of Ningbo City (Grant No. 2008A610017) and K.C. Wong Ma

Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method

Zhang Huan-Ping(张焕萍)^a), Li Biao(李彪)^a)^†, and Chen Yong(陈勇)^b)

^a Nonlinear Science Center, Ningbo University, Ningbo 315211, China; ^b Institute of Theoretical Computing, East China Normal University, Shanghai 200062, China

Received:2009-10-09 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10735030), Natural Science Foundation of Zhejiang Province of China (Grant No.~Y6090592), Natural Science Foundation of Ningbo City (Grant No. 2008A610017) and K.C. Wong Ma

摘要/Abstract

摘要： By symbolic computation and a direct method, this paper presents some exact analytical solutions of the one-dimensional generalized inhomogeneous higher-order nonlinear Schr?dinger equation with variable coefficients, which include bright solitons, dark solitons, combined solitary wave solutions, dromions, dispersion-managed solitons, etc. The abundant structure of these solutions are shown by some interesting figures with computer simulation.

Abstract: By symbolic computation and a direct method, this paper presents some exact analytical solutions of the one-dimensional generalized inhomogeneous higher-order nonlinear Schr?dinger equation with variable coefficients, which include bright solitons, dark solitons, combined solitary wave solutions, dromions, dispersion-managed solitons, etc. The abundant structure of these solutions are shown by some interesting figures with computer simulation.

Key words: inhomogeneous high-order nonlinear Schr$\ddot{\rm o}$dinger equation, solitary wave solutions, symbolic computation

中图分类号: (Propagation, scattering, and losses; solitons)

42.81.Dp

02.30.Jr (Partial differential equations)

张焕萍, 李彪, 陈勇. Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method[J]. 中国物理B, 2010, 19(6): 60302-060302.

Zhang Huan-Ping(张焕萍), Li Biao(李彪), and Chen Yong(陈勇). Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method[J]. Chin. Phys. B, 2010, 19(6): 60302-060302.

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Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method

Some exact solutions to the inhomogeneous higher-order nonlinear Schr?dinger equation by a direct method

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