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物理学报. 2005, 54(3): 1039-1043.
doi: 10.7498/aps.54.1039.
耦合Klein-Gordon-Schr?dinger方程新的精确解
- 收稿日期: 2004-07-09
- 修回日期: 2004-11-26
- 刊出日期: 2005-03-17
摘要: 用函数变换法将耦合KleinGordonSchrdinger方程化成可求解的不定积分形式，进而求出其精确解，包括有理函数型解、三角函数型解、双曲函数型解，以及椭圆函数型解.所得结果包含了文献中用齐次平衡法所得的解为特例.
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关键词:
- 耦合KleinGordonSchrdinger方程 /
- 精确解 /
- 椭圆函数 /
- 双曲函数
English Abstract
New exact solutions of coupled Klein-Gordon-Schr?dinger equations
- Received Date:
09 July 2004
- Accepted Date:
26 November 2004
- Published Online:
17 March 2005
Abstract: By using a functiontransformation method, coupled KleinGordornSchrdinger equations are reduced to the integrals that can be solved with elementary functions and elliptic functions. Its exact solutions that include discontinuous solutions, hyperbolic function type solutions and elliptic function type solutions, and a special solutions obtained in a reference, are given.
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