| A Study of the Behavioral Controllability for Superposed Kuznetsov–Ma Soliton of the (3+1)-Dimensional Generalized Nonlinear Schr?dinger 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 Schr?dinger Equation[J].理论物理通讯,2014(4). |
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| 作者姓名： | 朱海平 陈立 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No.11375079;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： | The(3+1)-dimensional variable-coefficient nonlinear Schr?dinger 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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| 关 键 词： | nonlinear Schr?dinger equation superposed Kuznetsov–Ma soliton controllable evolutional behaviors |
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