| 非线性Schr(o)dinger方程的N-波达布变换与精确解 |
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| 引用本文： | 王燕,熊杰. 非线性Schr(o)dinger方程的N-波达布变换与精确解[J]. 洛阳大学学报, 2007, 22(4): 11-14 |
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| 作者姓名： | 王燕 熊杰 |
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| 作者单位： | 1. 河南理工大学数学与信息科学学院,河南,焦作,454003
2. 北京师范大学数学科学学院,北京,100875 |
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| 摘 要： | 利用等谱问题的规范变换,为一对耦合的非线性Schrodinger方程建立了一个具有多个参数的N-波达布变换,求出了该方程的精确解.
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| 关 键 词： | 达布变换 非线性Schrodinger方程 精确解 |
| 文章编号： | 1007-113X（2007）04-0011-04 |
| 收稿时间： | 2007-09-18 |
N-fold Darboux Transformation and Exact Solutions for the Nonlinear Schrodinger Equation |
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| WANG Yan,XIONG Jie. N-fold Darboux Transformation and Exact Solutions for the Nonlinear Schrodinger Equation[J]. Journal of Luoyang University, 2007, 22(4): 11-14 |
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| Authors: | WANG Yan XIONG Jie |
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| Abstract: | A N-fold Darboux transformation with multi-parameters for a kind of coupled nonlinear evolution is set up with the help of a gauge transformation of a spectral problem. As a reduction, a Darboux transformation of the nonlinear Schrotinger equation is obtained, furthermore, the exact solutions of the nonlinear Schrodinger equation are given by applying its Darboux transformation. |
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| Keywords: | Darboux transformation nonlinear Schrodinger equation exact solution |
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