| 高阶非线性惯性波模型的精确孤立波和周期波解 |
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| 引用本文： | 李继彬.高阶非线性惯性波模型的精确孤立波和周期波解[J].上海师范大学学报(自然科学版),2018,47(3):275-279. |
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| 作者姓名： | 李继彬 |
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| 作者单位： | 华侨大学数学科学学院;浙江师范大学数理信息学院 |
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| 基金项目： | The National Natural Science Foundation of China (11571318, 11162020) |
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| 摘 要： | 描述高阶非线性惯性波运动的模型是一个偏微分方程.用动力系统方法证明,存在系统的参数组,使得高阶非线性惯性波模型有精确的周期波解,亮孤子和暗孤子解.
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| 关 键 词： | 非线性惯性波 周期波 亮孤子解 暗孤子解 精确解 |
| 收稿时间： | 2017/11/10 0:00:00 |
Exact solitary wave and periodic wave solutions for a higher-order model describing nonlinear internal waves |
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| Li Jibin.Exact solitary wave and periodic wave solutions for a higher-order model describing nonlinear internal waves[J].Journal of Shanghai Normal University(Natural Sciences),2018,47(3):275-279. |
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| Authors: | Li Jibin |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, China;Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004, China |
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| Abstract: | A higher-order model describing nonlinear internal waves is governed by a partial differential equation system. By using the method of dynamical systems, in this paper, we show that there exist parameter groups such that this system has exact periodic wave, bright solitary wave as well as dark solitary wave solutions. |
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| Keywords: | nonlinear internal wave periodic wave bright solitary wave dark solitary wave exact solution |
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