| 用Painleve变换法构造广义Benjamin-Bona-Mahony方程的冲击波解 |
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| 引用本文： | 卢霖,张超.用Painleve变换法构造广义Benjamin-Bona-Mahony方程的冲击波解[J].四川大学学报(自然科学版),2023,60(1):011005. |
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| 作者姓名： | 卢霖 张超 |
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| 作者单位： | 湖南第一师范学院数学与统计学院,湖南科技大学湖南省岩土工程稳定控制与健康监测重点实验室 |
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| 基金项目： | 湖南省教育厅青年项目（22B0886）；湖南省自然科学基金（2017JJ3044，2018JJ2073）；湖南省教育厅重点项目（21A0576） |
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| 摘 要： | 本文利用Painleve变换法构造了广义Benjamin-Bona-Mahony方程的冲击波解. 同时也利用G''/G-展开法构造了方程的冲击波解和有理解. 两种方法的对比结果显示, 用Painleve变换法更为直观简便.
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| 关 键 词： | Benjamin-Bona-Mahony方程 冲击波解 Painleve变换法 G''/G-展开法 |
| 收稿时间： | 2022/4/24 0:00:00 |
| 修稿时间： | 2022/4/24 0:00:00 |
Kink solutions for the generalized Benjamin-Bona-Mahony equationconstructed by Painleve transformation method |
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| LU Lin and ZHANG Chao.Kink solutions for the generalized Benjamin-Bona-Mahony equationconstructed by Painleve transformation method[J].Journal of Sichuan University (Natural Science Edition),2023,60(1):011005. |
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| Authors: | LU Lin and ZHANG Chao |
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| Institution: | School of Mathematics and Statistics, Hunan First Normal University,Provincial Key Laboratory of Geotechnical Engineering for Stability Control and Health Monitoring, Hunan University of Science and Technology |
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| Abstract: | By using the Painleve''s transformation method we construct the kink solutions for the generalized Benjamin-Bona-Mahony equation. Meanwhile, by using the G''/G-expansion method we also construct the kink solution and rational solution for the equation. The comparison of these two methods show that the Painleve''s transformation method is more intuitive and effective. |
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| Keywords: | Benjamin-Bona-Mahony equation Kink solution Painleve transformation method G''/G-expansion method |
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