| 广义Broer-Kaup方程的自Bcklund变换、有理级数解及N孤子解 |
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| 引用本文： | 张芸芝.广义Broer-Kaup方程的自Bcklund变换、有理级数解及N孤子解[J].江苏技术师范学院学报,2011,17(10):54-57. |
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| 作者姓名： | 张芸芝 |
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| 作者单位： | 江苏技术师范学院数理学院,江苏常州,213001 |
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| 摘 要： | 通过引入恰当的函数变换,将广义Broer-Kaup方程转化为单个非线性偏微分方程。应用推广的齐次平衡原理,得到了变换后的单个方程的自Bcklund变换。并基于此变换,给出了广义Broer-Kaup方程的有理级数解和N孤子解。
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| 关 键 词： | 广义Broer-Kaup方程 Bcklund变换 有理级数解 N孤子解 |
Independent Variables Cklund Transformation,Rational Series and N-soliton Solutions for the Generalized Broer-Kaup Equation |
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| ZHANG Yun-zhi.Independent Variables Cklund Transformation,Rational Series and N-soliton Solutions for the Generalized Broer-Kaup Equation[J].Journal of Jiangsu Teachers University of Technology,2011,17(10):54-57. |
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| Authors: | ZHANG Yun-zhi |
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| Institution: | ZHANG Yun-zhi(School of Mathematics and Physics,Jiangsu Teachers University of Technology, Changzhou 213001,China) |
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| Abstract: | In this paper,a generalized form of Broer-Kaup equations is considered.By introducing an appropriate function transformation,we convert the generalized Broer-Kaup equations into the single nonlinear partial differential equation.By applying the extended homogeneous balance method,we obtain the independent variables cklund transformation.Based on the independent variables cklund transformation,we derive the rational series solution and N-soliton solution. |
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| Keywords: | generalized Broer-Kaup equations independent variables cklund transformation rational series solution N-soliton solution |
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