Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters

doi:10.1088/1674-1056/25/5/050202

中国物理B ›› 2016, Vol. 25 ›› Issue (5): 50202-050202.doi: 10.1088/1674-1056/25/5/050202

Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters

Wei Hua(花巍), Xue-Shen Liu(刘学深), Shi-Xing Liu(刘世兴)

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

收稿日期:2015-10-11 修回日期:2016-01-05 出版日期:2016-05-05 发布日期:2016-05-05
通讯作者: Wei Hua E-mail:huawei2030@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11301350, 11472124, and 11271158) and the Doctor Start-up Fund in Liaoning Province, China (Grant No. 20141050).

Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters

Wei Hua(花巍)¹, Xue-Shen Liu(刘学深)², Shi-Xing Liu(刘世兴)³

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

Received:2015-10-11 Revised:2016-01-05 Online:2016-05-05 Published:2016-05-05
Contact: Wei Hua E-mail:huawei2030@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11301350, 11472124, and 11271158) and the Doctor Start-up Fund in Liaoning Province, China (Grant No. 20141050).

摘要/Abstract

摘要：

We study the dynamics of the cubic-quintic nonlinear Schrödinger equation by the symplectic method. The behaviors of the equation are discussed with harmonically modulated initial conditions, and the contributions from the quintic term are discussed. We observe the elliptic orbit, homoclinic orbit crossing, quasirecurrence, and stochastic motion with different nonlinear parameters in this system. Numerical simulations show that the changing processes of the motion of the system and the trajectories in the phase space are various for different cubic nonlinear parameters with the increase of the quintic nonlinear parameter.

关键词: nonlinear Schrödinger equation, phase space, symplectic method

Abstract:

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

中图分类号: (Numerical simulation; solution of equations)

02.60.Cb

05.45.Yv (Solitons)

花巍, 刘学深, 刘世兴. Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters[J]. 中国物理B, 2016, 25(5): 50202-050202.

Wei Hua(花巍), Xue-Shen Liu(刘学深), Shi-Xing Liu(刘世兴). Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters[J]. Chin. Phys. B, 2016, 25(5): 50202-050202.

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Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters

Dynamics of cubic-quintic nonlinear Schrödinger equation with different parameters

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