立方五次方非线性薛定谔方程的动力学及模式漂移（英文）  

Dynamic Study of Cubic-Quintic Nonlinear Schrdinger Equation and Pattern Drifting

作　　者：花巍[1] 吕嫣[1] 刘世兴[2] 刘学深[3] 

机构地区：[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

出　　处：《计算物理》2017年第4期495-504,共10页Chinese Journal of Computational Physics

基　　金：Supported by The National Natural Science Foundation of China(Grant Nos.11301350,11472124,and 11271158);the Dr.Start-up fund in Liaoning Province,China(Grant No.20141050)

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.Dynamics of cubic-quintic nonlinear Schrodinger equation 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.

关 键 词：非线性薛定谔方程 相空间 模式漂移 辛算法 

分 类 号：O562[理学—原子与分子物理]