| 非线性强迫扰动Klein-Gordon方程的孤波渐近解法 |
| |
| 引用本文： | 欧阳成,石兰芳,汪维刚,莫嘉琪. 非线性强迫扰动Klein-Gordon方程的孤波渐近解法[J]. 数学年刊A辑(中文版), 2017, 38(1): 043-52 |
| |
| 作者姓名： | 欧阳成 石兰芳 汪维刚 莫嘉琪 |
| |
| 作者单位： | 湖州师范学院数学系, 浙江 湖州 313000.,南京信息工程大学数学与统计学院, 南京 210044.,桐城师范高等专科学校理工系, 安徽 桐城 231402.,安徽师范大学数学系, 安徽 芜湖 241003. |
| |
| 基金项目： | 本文受到国家自然科学基金(No.11202106),浙江省自然科学研究项目(No.LY13A010005)和江苏省高校自然科学研究项目(No.13KJB170016)的资助. |
| |
| 摘 要： | 研究了一类非线性强迫扰动Klein-Gordon方程.首先利用双曲正切待定系数法求得了典型的方程孤波解.然后利用泛函变分迭代原理得到了强迫扰动Klein-Gordon方程的一个近似解,并论述了解的一致有效性.所得到的近似解是一个解析式,它还可对近似解进行解析运算,而使用简单的模拟方法所得到的近似解是达不到这种效果的.
|
| 关 键 词： | Solitary waves Functional Nonlinear |
| 收稿时间： | 2015-04-02 |
| 修稿时间： | 2015-12-15 |
The Asymptotic Solving Method of Solitary Wave for the Nonlinear Forced Disturbed Klein-Gordon Equation |
| |
| OUYANG Cheng,SHI Lanfang,WANG Weigang and MO Jiaqi. The Asymptotic Solving Method of Solitary Wave for the Nonlinear Forced Disturbed Klein-Gordon Equation[J]. Chinese Annals of Mathematics, 2017, 38(1): 043-52 |
| |
| Authors: | OUYANG Cheng SHI Lanfang WANG Weigang MO Jiaqi |
| |
| Affiliation: | Faculty of Science, Huzhou University, Huzhou 313000, Zhejiang, China.,College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China.,Department of Science and Technology, Tongcheng Teachers College, Tongcheng 231402, Anhui, China. and Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui, China. |
| |
| Abstract: | A class of nonlinear forced disturbed Klein-Gordon equation is considered. Firstly, the solitary waves to typical equation is solved using the method of undetermined coefficients for hyperbolic tangent functions. Then approximate solutions of soliton to nonlinear forced disturbed equation are obtained using the functional variational principle. Finally, the uniform validity for the approximate solutions is proved. And the asymptotic solution has an analytic expression, so the authors can carry on analytic operation to it, these can not be obtained by using the simple simulate method. |
| |
| Keywords: | Solitary waves Functional Nonlinear |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊A辑(中文版)》下载全文 |
|
