| 广义变系数Burgers-Kadomtsev-Petviashvili方程的自B?cklund变换和精确解析解 |
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| 引用本文： | 孟祥花,许瑞麟,许晓革.广义变系数Burgers-Kadomtsev-Petviashvili方程的自B?cklund变换和精确解析解[J].量子电子学报,2014,31(6):663-669. |
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| 作者姓名： | 孟祥花 许瑞麟 许晓革 |
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| 作者单位： | 北京信息科技大学理学院 北京 100192 |
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| 摘 要： | 应用Painlevé分析法研究了广义变系数Burgers-Kadomtsev-Petviashvili方程。结果显示该方程不具有Painlevé性质。通过截断的Painlevé展开方法，在条件 ( 为任意常数)下, 得到了该方程的自B?cklund变换。基于自B?cklund变换，给出了一些新的解析解如多孤子解和周期解。
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| 关 键 词： | 广义变系数Burgers-Kadomtsev-Petviashvili方程 Painlevé分析 自B?cklund变换 解析解 |
| 收稿时间： | 2014-05-12 |
| 修稿时间： | 2014-08-08 |
Auto-Backlund transformation and novel exact analytic solutions for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation |
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| MENG Xiang-hua,XU Rui-lin,XU Xiao-ge.Auto-Backlund transformation and novel exact analytic solutions for the generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation[J].Chinese Journal of Quantum Electronics,2014,31(6):663-669. |
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| Authors: | MENG Xiang-hua XU Rui-lin XU Xiao-ge |
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| Affiliation: | School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China |
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| Abstract: | The generalized variable-coefficient Burgers-Kadomtsev-Petviashvili equation is investigated employing the Painlevé analysis technique. It has shown that the equation does not possess the Painlevé property. Via the truncated Painlevé expansion method and under the condition ( is a constant), we have derived an auto-B?cklund transformation for the generalized variable- coefficient Burgers-Kadomtsev-Petviashvili equation. Based on the obtained auto-B?cklund transformation, some novel exact analytic solutions are given, including multiple soliton and periodic solutions. |
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| Keywords: | variable-coefficient Burgers-Kadomtsev-Petviashvili equation Painlevé analysis auto- B?cklund transformation analytic solutions |
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