立方五次方非线性薛定谔方程的动力学及模式漂移

计算物理 ›› 2017, Vol. 34 ›› Issue (4): 495-504.

• • 上一篇

立方五次方非线性薛定谔方程的动力学及模式漂移

花巍¹, 吕嫣¹, 刘世兴², 刘学深³

1. 沈阳师范大学物理科学与技术学院, 辽宁沈阳 110034;
2. 辽宁大学物理学院, 辽宁沈阳 110036;
3. 吉林大学原子与分子物理研究所, 吉林长春 130012

收稿日期:2016-05-10 修回日期:2016-10-18 出版日期:2017-07-25 发布日期:2017-07-25
通讯作者: Hua Wei (1979-),female,Liaoning,associate professor,doctor,major in symplectic algorithm in atomic and molecular physics,E-mail:huawei2030@163.com
基金资助:
Supported by The National Natural Science Foundation of China (Grant Nos.11301350,11472124,and 11271158) and the Dr.Start-up fund in Liaoning Province,China (Grant No.20141050)

Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting

HUA Wei¹, LV Yan¹, LIU Shixing², LIU Xueshen³

1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China;
2. College of Physics, Liaoning University, Shenyang 110036, China;
3. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

Received:2016-05-10 Revised:2016-10-18 Online:2017-07-25 Published:2017-07-25
Supported by:
Supported by The National Natural Science Foundation of China (Grant Nos.11301350,11472124,and 11271158) and the Dr.Start-up fund in Liaoning Province,China (Grant No.20141050)

摘要/Abstract

摘要： 利用辛算法研究立方五次方非线性薛定谔方程的动力学，讨论随着五次方系数的增大方程的动力学性质.在相图中计算得到同宿轨交叉和椭圆轨道，系统具有周期解.讨论方程的解模式的漂移，结果表明解模式的漂移速度随着五次方系数的增大而减慢.

关键词: 非线性薛定谔方程, 相空间, 模式漂移, 辛算法

Abstract: Dynamics of cubic-quintic nonlinear Schrödingeröequation are studied numerically with symplectic method. Behaviors of the equation are discussed with increased quintic nonlinear parameter. We observe homoclinic orbit crossing and elliptic orbit in turn and the system has recurrent solutions. Pattern drifting of solutions is also discussed. It is shown that pattern drifting can be slowed down by increasing the quintic nonlinear parameter.

Key words: nonlinear Schrödinger equation, phase space, pattern drifting, symplectic method

中图分类号:

O562

花巍, 吕嫣, 刘世兴, 刘学深. 立方五次方非线性薛定谔方程的动力学及模式漂移[J]. 计算物理, 2017, 34(4): 495-504.

HUA Wei, LV Yan, LIU Shixing, LIU Xueshen. Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(4): 495-504.

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立方五次方非线性薛定谔方程的动力学及模式漂移

Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting

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