| 具有5次强非线性项波方程的精确解 |
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| 引用本文： | 钱天虹,刘中飞,韩家骅.具有5次强非线性项波方程的精确解[J].安徽大学学报(自然科学版),2004,28(6):37-41. |
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| 作者姓名： | 钱天虹 刘中飞 韩家骅 |
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| 作者单位： | 安徽大学,物理系,安徽,合肥,230039;安徽中医学院,药学系,安徽,合肥,230031;安徽大学,物理系,安徽,合肥,230039 |
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| 基金项目： | 安徽省科技厅科研项目，安徽省省级重点学科建设基金 |
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| 摘 要： | 采用新的函数变换法,并与直接积分法相结合简便地求出了具有5次强非线性项的导数Schr dinger方程四类显示精确孤波解。这种方法同样也适用于求解具有更高次非线性项的其他非线性波方程。
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| 关 键 词： | 函数变换法 直接积分法 非线性波方程 孤波解 |
| 文章编号： | 1000-2162(2004)06-0037-05 |
Explicit exact solutions for nonlinear wave equations with fifth-order stronger nonlinear term |
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| QIAN Tian-hong.Explicit exact solutions for nonlinear wave equations with fifth-order stronger nonlinear term[J].Journal of Anhui University(Natural Sciences),2004,28(6):37-41. |
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| Authors: | QIAN Tian-hong |
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| Institution: | QIAN Tian-hong~ |
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| Abstract: | In the paper, a new function-transformation method is used and four kinds of explicit exact solitary wave solutions for the nonlinear derivative Schrdinger equation, which have a fifth-order stronger nonlinear term, are obtained by a combination of the function-transformation method and the direct integral method. This method used in the paper can be also be applied to other nonlinear wave equations with higher-order nonlinear terms. |
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| Keywords: | function-transformation method solitary wave solution direct integral method nonlinear wave equation |
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