| A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the （3＋1）-Dimensional Generalized Nonlinear Schrodinger Equation |
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| 引用本文： | 朱海平,陈立.A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the （3＋1）-Dimensional Generalized Nonlinear Schrodinger Equation[J].理论物理通讯,2014,61(4):495-500. |
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| 作者姓名： | 朱海平 陈立 |
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| 作者单位： | [1]School of Science, Zhejiang Lishui University, Lishui 323000, China [2]School of Science, Ningbo University, Ningbo 315211, China |
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| 基金项目： | ＊Supported by the National Natural Science Foundation of China under Grant No. 11375079 and the Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province |
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| 摘 要： | Abstract The （3＋1 ）-dimensional variable-coetfficient nonlinear SchrSdinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time To based on maximum amplitude of Kuznetsov Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated.
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| 关 键 词： | 非线性薛定谔方程 叠加 可控性 孤立子 行为 广义 抛物线方程 精确表达式 |
| 收稿时间： | 2013-08-28 |
A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schrödinger Equation |
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| ZHU Hai-Ping,CHEN Li.A Study of the Behavioral Controllability for Superposed Kuznetsov-Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schrödinger Equation[J].Communications in Theoretical Physics,2014,61(4):495-500. |
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| Authors: | ZHU Hai-Ping CHEN Li |
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| Institution: | 1. School of Science, Zhejiang Lishui University, Lishui 323000, China;
2. School of Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | The (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation with linear and parabolic traps is studied, and an exact Kuznetsov-Ma soliton solution in certain parameter conditions is derived. These precise expressions indicate that diffraction and chirp factors influence phase, center and widths, while the gain/loss parameter only affects peaks. By adjusting the relation between the maximum accumulated time Tm and the accumulated time T0 based on maximum amplitude of Kuznetsov-Ma soliton, postpone, maintenance and restraint of superposed Kuznetsov-Ma solitons are investigated. |
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| Keywords: | nonlinear Schrodinger equation superposed Kuznetsov-Ma soliton controllable evolutional be-haviors |
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