| 非稳定非线性薛定谔方程的马尔钦科方程 |
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| 引用本文： | 陈芝得,陈向军. 非稳定非线性薛定谔方程的马尔钦科方程[J]. 数学物理学报(A辑), 1999, 19(4): 461-466 |
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| 作者姓名： | 陈芝得 陈向军 |
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| 作者单位： | 武汉大学物理系!广州市桂花岗广州师范学院物理系广州５１０４００(陈芝得)，暨南大学物理系!暨南５１０６３２(陈向军) |
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| 摘 要： | 该文基于对非稳定非线性薛定愕方程作反散射变换得到的Ｚａｋｈａｒｏｖ－Ｓｈａｂａｔ方程，直接对积分核作变换，导出马尔钦科方程．得到的马尔钦科方程在形式上与一般非线性薛定谔方程得到的一样简单明了，且不存在逆变换的自洽困难．
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| 关 键 词： | 非线性薛定方程 反散射 弥钦科方程 |
Machenko Equation of the Unstable Nonlinear Schrodinger(NLS) Equation |
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| Chen Zhide. Machenko Equation of the Unstable Nonlinear Schrodinger(NLS) Equation[J]. Acta Mathematica Scientia, 1999, 19(4): 461-466 |
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| Authors: | Chen Zhide |
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| Abstract: | The unstable nonlinear Schrodinger (NLS) equation is solved by the inversescattering transform. A transformation is made directly to the intergral nuclei of the Zakharov-Shabat equation, and the Marchenko equation is thus derived. It is found that theMarchenko equation is as simple as that of a usual NLS equation, and the Zakharov-Shabat equation can be found from the Machenko equation by the inverse transformation. |
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| Keywords: | NLS equation Inveise Scattering transform Marchenko equation. |
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