| Exact solutions for the coupled Klein-Gordon-Schrǒdinger equations using the extended F-expansion method |
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| 引用本文： | 何红生,陈江,杨孔庆.Exact solutions for the coupled Klein-Gordon-Schrǒdinger equations using the extended F-expansion method[J].中国物理 B,2005,14(10):1926-1931. |
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| 作者姓名： | 何红生 陈江 杨孔庆 |
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| 作者单位： | Department of Physics,Lanzhou University, Gansu 730000, China;Department of Physics,Lanzhou University, Gansu 730000, China;Department of Physics,Lanzhou University, Gansu 730000, China;Institute of Applied Physics, Jimei University, Xiamen 361021, China |
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| 基金项目： | Project supported by the National Nature
Science Foundation of China (Grant No 49894190) of the Chinese Academy
of Science (Grant No KZCXI-sw-18), and Knowledge Innovation Program. |
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| 摘 要： | The extended F-expansion method or mapping method is used to construct exact solutions for the coupled KleinGordon Schr/Sdinger equations （K-G-S equations） by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions, soliton solutions and combined soliton solutions.
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| 关 键 词： | 精确解 K-G-S方程 扩展性 Jacobi椭圆函数 |
| 收稿时间： | 7/2/2004 12:00:00 AM |
| 修稿时间： | 2004-07-022005-05-30 |
Exact solutions for the coupled Klein--Gordon--Schr?dinger equations using the extended F-expansion method |
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| He Hong-Sheng,Chen Jiang and Yang Kong-Qing.Exact solutions for the coupled Klein--Gordon--Schr?dinger equations using the extended F-expansion method[J].Chinese Physics B,2005,14(10):1926-1931. |
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| Authors: | He Hong-Sheng Chen Jiang and Yang Kong-Qing |
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| Institution: | Department of Physics,Lanzhou University, Gansu 730000, China; Department of Physics,Lanzhou University, Gansu 730000, China;Institute of Applied Physics, Jimei University, Xiamen 361021, China |
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| Abstract: | The extended F-expansion method or mapping method is used to construct exact solutions for the coupled Klein-Gordon SchrOdinger equations (K-G-S equations) by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions,soliton solutions and combined soliton solutions. |
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| Keywords: | extended F-expansion method exact solutions coupled K-G-S equations Jacobi elliptic function |
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