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| 一个新的Hamiltonian振幅方程的周期波解 | |
| 引用本文： | 冯胜章,李彦刚,田丽娜,周宇斌.一个新的Hamiltonian振幅方程的周期波解[J].兰州大学学报(自然科学版),2007,43(5):111-116. |
| 作者姓名： | 冯胜章 李彦刚 田丽娜 周宇斌 |
| 作者单位： | 1. 西安卫星测控中心,陕西,西安,710043 2. 兰州大学,数学与统计学院,甘肃,兰州,730000;兰州工业高等专科学校,基础学科部,甘肃,兰州,730050 3. 兰州城市学院,数学系,兰州,730070 4. 兰州大学,数学与统计学院,甘肃,兰州,730000 |
| 摘 要： | 由扩展的F-展开法获得了一个新的Hamiltonian振幅方程的新形式的周期波解.在极限情形得到了由双曲函数和三角函数表示的解.作为特别情形,得到了非线性Schr(o)dinger方程的相应解. |
| 关 键 词： | 新的Hamiltonian振幅方程 F-展式法 周期波解 Jacobi椭圆函数 孤立波 |
| 文章编号： | 0455-2059（2007）05-0111-07 |
| 修稿时间： | 2006-01-05 |
Periodic wave solutions for a new Hamiltonian amplitude equation |
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| FENG Sheng-zhang,LI Yan-gang,TIAN Li-na,ZHOU Yu-bin.Periodic wave solutions for a new Hamiltonian amplitude equation[J].Journal of Lanzhou University(Natural Science),2007,43(5):111-116. | |
| Authors: | FENG Sheng-zhang LI Yan-gang TIAN Li-na ZHOU Yu-bin |
| Abstract: | The new form periodic wave solutions for a new Hamiltonian amplitude equation are obtained by the extended F-expansion method. We can simultaneously obtain many periodic wave solutions expressed by various Jacobi elliptic functions for the new Hamiltonian amplitude equation introduced by M. Wadati et al. In the limit case, the hyperbolic function solutions and trigonometric function solutions are given, respectively. Especially, when the parameter ε goes to zero, the new Hamiltonian amplitude equation becomes the well-known nonlinear Schr(o)dinger (NLS) equation, whose solutions can be derived from the solutions of the new Hamiltonian amplitude equation. |
| Keywords: | new Hamiltonian amplitude equation F-expansion method periodic wave solution Jacobi elliptic function solitary wave solution |
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