| 非线性Schrodinger方程新的显式精确解 |
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| 引用本文： | 张秋爽,尚亚东.非线性Schrodinger方程新的显式精确解[J].广州大学学报(综合版),2010(1):15-18. |
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| 作者姓名： | 张秋爽 尚亚东 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州510006 |
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| 摘 要： | 通过扩展的映射方法得到非线性Schrodinger方程新的多种显式椭圆函数精确解，还包括新的孤立波解，三角函数解，双曲函数解，以及在取极限的情况下得出的精确解．结果表明，这个方法既直接又有效．
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| 关 键 词： | 扩展的映射方法 非线性Schrodinger方程 显示精确解 新的周期解 |
The new explicit and exact solutions to the nonlinear Schrodinger equation |
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| ZHANG Qiu-shuang,SHANG Ya-dong.The new explicit and exact solutions to the nonlinear Schrodinger equation[J].Journal of Guangzhou University,2010(1):15-18. |
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| Authors: | ZHANG Qiu-shuang SHANG Ya-dong |
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| Institution: | (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China) |
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| Abstract: | In this paper, new explicit and exact Jacobian elliptic solutions of the nonlinear Schrodinger equation are obtained by using the extended mapping method. As a result, the exact solutions include new solitary wave solutions, triangular and hyperbolic functions solutions, and the exact solutions in the limiting cases have also been studied. The result reveals that the method is straightforward and effective. |
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| Keywords: | extended mapping method the nonlinear Schrodinger equation explicit and exact solutions new periodic solutions |
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