| (2+1)维Broer-Kaup-Kupershmidt方程的新精确解 |
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| 引用本文： | 朱顺东. (2+1)维Broer-Kaup-Kupershmidt方程的新精确解[J]. 宁波大学学报(理工版), 2006, 19(3): 393-396 |
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| 作者姓名： | 朱顺东 |
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| 作者单位： | 浙江省丽水学院,数理学院,浙江,丽水,323000 |
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| 基金项目： | 国家自然科学基金;浙江省教育厅资助项目 |
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| 摘 要： | 使用变系数的广义Ricatti方程映射法，对（2＋1）维Broer-Kaup—Kupershmidt方程进行了研究，得到了包括Weierstrass函数解、孤立子解、似孤立子解和三角函数解等．由于解的表达式中存在2个或3个任意函数，因此解中存在丰富的结构．
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| 关 键 词： | 广义Ricatti方程映射法 (2+1)维Broer-Kaup-Kupershmidt方程 孤立子解 |
| 文章编号： | 1001-5132(2006)03-0393-04 |
| 收稿时间： | 2006-06-05 |
| 修稿时间： | 2006-06-05 |
New Exact Solutions for (2+ 1)-dimensional Broer-Kaup-Kupershmidt Equations |
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| ZHU Shun-dong. New Exact Solutions for (2+ 1)-dimensional Broer-Kaup-Kupershmidt Equations[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2006, 19(3): 393-396 |
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| Authors: | ZHU Shun-dong |
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| Affiliation: | College of Mathematics and Physics, Lishui University, Lishui 323000, China |
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| Abstract: | The mapping method of generalized Ricatti equation with variant coefficients is applied to obtain the explicit solutions for the(2+1)-dimensional Broer-Kaup-Kupershmidt equations.These solutions are found for various functions such as Weierstrass,solitary wave,solitary-like wave and trigonometric functions.Due to the fact that two or three arbitrary functions are expressed in the solution,there exists a large variety of localized excitations. |
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| Keywords: | generalized mapping Ricatti equation (2+1)-dimensional Broer-Kaup-Kupershmidt equations solitary wave solutions |
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