| 耦合非线性Schrodinger方程的Darboux变换及精确解 |
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| 引用本文： | 周甄川.耦合非线性Schrodinger方程的Darboux变换及精确解[J].合肥学院学报(自然科学版),2010,20(1):18-22. |
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| 作者姓名： | 周甄川 |
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| 作者单位： | 黄山学院,数学系,黄山,245041 |
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| 基金项目： | 安徽省高等学校青年教师科研计划项目，黄山学院自然科学研究项目 |
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| 摘 要： | Darboux变换方法是求解非线性微分方程的最有效的方法之一．通过研究一个3×3矩阵谱问题，利用谱问题的规范变换，为耦合非线性Schrtidinger方程建立了Darboux变换，并求出了该方程的精确解．
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| 关 键 词： | Darboux变换 耦合非线性Schrodinger方程 精确解 |
Darboux Transformation and Explicit Solutions of the Couple Nonlinear Schr(o)dinger Equation |
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| ZHOU Zhen-chuan.Darboux Transformation and Explicit Solutions of the Couple Nonlinear Schr(o)dinger Equation[J].Journal of Hefei University :Natural Sciences,2010,20(1):18-22. |
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| Authors: | ZHOU Zhen-chuan |
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| Institution: | ZHOU Zhen-chuan (Department of Mathematics, Huangshan University, Huangshan, Anhui 245041, China) |
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| Abstract: | In the field of finding the explicit solutions of nonlinear differential equations, Darboux transformation is regarded as one of the most effective ways. Through the intensive study of a 3 × 3 matrix spectral problem, with the help of a gauge transformation of a spectral problem, a Darboux transformation of the couple nonlinear Schrodinger equations is obtained. Furthermore, the explicit solutions of the equations are also given. |
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| Keywords: | Darboux transformation couple nonlinear Schrodinger equations explicit solutions |
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