| 推广非线性Schrodinger系统与推广Heisenberg系统的规范等价和推广非线性Schrodinger系统的Darboux变换 |
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| 引用本文： | 毕小山,李翊神.推广非线性Schrodinger系统与推广Heisenberg系统的规范等价和推广非线性Schrodinger系统的Darboux变换[J].焦作工学院学报,1994(4). |
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| 作者姓名： | 毕小山 李翊神 |
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| 作者单位： | 焦作矿业学院，中国科技大学 |
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| 摘 要： | 本文研究推广非线性Ｓｃｈｒｄｉｎｇｅｒ系统，给出了该系统的Ｄａｒｂｏｕｘ变换。当ｎ＝４时，给出了与之规范等价的另一系统，这两个系统的演化方程可以分别约化成非线性Ｓｃｈｒｄｉｎｇｅｒ方程和Ｈｅｉｓｅｎｂｅｒｇ方程，并利用第一个系统的Ｄａｒｂｏｕｘ变换给出了第二个系统势函数演化方程的一个非零解。
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| 关 键 词： | GNS系统，GH系统，Darboux变换，非线性 |
Gauge Equivalence of the Ceneralized Nonlinear Schrdinger(GNS)System and the GeneralizedHeisenberg(GH)System,Darboux Transformatiou for the GNS System |
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| /Bi Xiaoshan and LiYishen//Jiaozuo Mining Institute.Gauge Equivalence of the Ceneralized Nonlinear Schrdinger(GNS)System and the GeneralizedHeisenberg(GH)System,Darboux Transformatiou for the GNS System[J].Journal of Jiaozuo Institute of Technology(Natural Science),1994(4). |
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| Authors: | /Bi Xiaoshan and LiYishen//Jiaozuo Mining Institute |
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| Affiliation: | /Bi Xiaoshan and LiYishen//Jiaozuo Mining Institute |
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| Abstract: | In this paper,The authors studied the GNS system and gave out the Darboux Trans-formation for it,When n=4,the give out a system which gauges and is equivalent to the GNSsystem. They evolution cquations of these two systems may be restricted to the nonlinearSchrdinger Equation and Heisenberg Equation. By using the Darboux Transformation of theGNS system the authors have obtained a nonzero solution of the evolution equation. |
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| Keywords: | GNS system GH system Darboux transformation nonlinearity |
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