| 立方五次方非线性Schrodinger方程的动力学性质研究 |
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| 引用本文： | 花巍,刘学深.立方五次方非线性Schrodinger方程的动力学性质研究[J].物理学报,2011,60(11):110210-110210. |
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| 作者姓名： | 花巍 刘学深 |
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| 作者单位： | 吉林大学原子与分子物理研究所,长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:10974068,11174108)资助的课题. |
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| 摘 要： | 采用辛算法数值求解了一维立方五次方非线性Schrödinger方程,研究了不同非线性参数下非线性Schrödinger方程的动力学性质.数值结果表明,随着立方非线性参数的增加,系统经历了拟周期状态、混沌状态和周期状态,且在五次方项的调制下,呼吸子解可以退化为单孤子解.
关键词：
非线性Schrödinger方程
动力学性质
孤子
辛算法
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| 关 键 词： | 非线性Schrödinger方程 动力学性质 孤子 辛算法 |
| 收稿时间： | 2010-12-31 |
Dynamics of cubic and quintic nonlinear Schrödinger equations |
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| Hua Wei and Liu Xue-Shen.Dynamics of cubic and quintic nonlinear Schrödinger equations[J].Acta Physica Sinica,2011,60(11):110210-110210. |
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| Authors: | Hua Wei and Liu Xue-Shen |
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| Institution: | Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China |
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| Abstract: | We solve one-dimensional(1D) cubic and quintic nonlinear Schrödinger equations by the symplectic method. The dynamical property of the nonlinear Schrödinger equation is studied with using diffenent nonlinear coefficients. The results show that the system presents quasiperiodic solution, chaotic solution, and periodic solution with the cubic nonlinear coefficient increasing, and the breather solution reduced into a fundamental soliton solution under the modulation of the quintic nonlinear coefficient. |
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| Keywords: | nonlinear Schrö dinger equation dynamical property soliton symplectic method |
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