| 一类非线性薛定谔方程的精确解析解 |
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| 引用本文： | 张睿,王军帽,韩家骅. 一类非线性薛定谔方程的精确解析解[J]. 安徽大学学报(自然科学版), 2009, 33(3) |
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| 作者姓名： | 张睿 王军帽 韩家骅 |
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| 作者单位： | 安徽大学,物理与材料科学学院,安徽,合肥,230039 |
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| 基金项目： | 安徽省自然科学基金资助项目(01041188);;安徽省省级精品课程基金资助项目 |
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| 摘 要： | 利用拓展的Riccati方程映射法,研究一个新形式的非线性薛定谔方程,并得到一类非线性薛定谔方程的精确解析解,包括孤子解、周期波解和变量分离解.这种方法在寻找其他非线性发展方程的新精确解方面具有普遍意义.
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| 关 键 词： | 非线性薛定谔方程 Riccati方程 精确解析解 |
Exact solutions to nonlinear Schrodinger equations |
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| ZHANG Rui,WANG Jun-mao,HAN Jia-hua. Exact solutions to nonlinear Schrodinger equations[J]. Journal of Anhui University(Natural Sciences), 2009, 33(3) |
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| Authors: | ZHANG Rui WANG Jun-mao HAN Jia-hua |
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| Affiliation: | School of Physics and Material Science;Anhui University;Hefei 230039;China |
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| Abstract: | In the paper, the exact solutions to a new form nonlinear Schrodinger equation were found with the use of the extended Riccati-function method based on mapping method, and the solitary solutions, periodic wave solutions and variable separation solutions were obtained. The method could also be used to explore exact solutions for other nonlinear evolution equations. |
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| Keywords: | nonlinear Schrodinger equation the Riccati equation exact solutions |
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