Behaviour of Cubic Nonlinear Schrödinger Equation by Using the Symplectic Method
LIU Xue-Shen, DING Pei-Zhu
Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012
Behaviour of Cubic Nonlinear Schrödinger Equation by Using the Symplectic Method
LIU Xue-Shen;DING Pei-Zhu
Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012
关键词 ：
02.60.Cb ,
42.65.-k ,
47.10.+g
Abstract ： The dynamic properties of cubic nonlinear Schrödinger equation are investigated numerically by using the symplectic method. We show that the trajectories in phase space will exhibit different behaviour (elliptic orbit or homoclinic orbit) with the increase of nonlinear perturbation. We illustrate this phenomenon by mean of linearized stability analysis. The theoretical analysis is consistent with the numerical results.
Key words ：
02.60.Cb
42.65.-k
47.10.+g
出版日期: 2004-02-01
引用本文:
LIU Xue-Shen;DING Pei-Zhu. Behaviour of Cubic Nonlinear Schrödinger Equation by Using the Symplectic Method[J]. 中国物理快报, 2004, 21(2): 230-232.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2004/V21/I2/230
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2004, Vol. 21 
