| 强非线性波动方程孤子行波解 |
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| 引用本文： | 冯依虎.强非线性波动方程孤子行波解[J].应用数学和力学,2019,40(1):89-96. |
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| 作者姓名： | 冯依虎 |
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| 作者单位： | 1亳州学院, 安徽 亳州 236800;2上海大学 数学系, 上海 200444 |
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| 基金项目： | 国家自然科学基金(41275062);安徽省教育厅自然科学基金(重点项目)(KJ2017A702);安徽省高校优秀青年人才支持计划(重点项目)(gxyqZD2016520) |
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| 摘 要： | 研究了一个强非线性波动方程.利用泛函分析变分迭代方法,首先构造了一个变分,求出相应的Lagrange乘子;其次构造一个解的变分迭代,选取初始孤子波;最后利用迭代方法依次求出各次孤子波的近似解.该方法是一个简单可行的近似求解非线性方程的方法.
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| 关 键 词： | 波动方程 孤立子 近似方法 |
| 收稿时间： | 2018-02-03 |
Solitary Travelling Wave Solutions to Strongly Nonlinear Wave Equations |
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| FENG Yihu.Solitary Travelling Wave Solutions to Strongly Nonlinear Wave Equations[J].Applied Mathematics and Mechanics,2019,40(1):89-96. |
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| Authors: | FENG Yihu |
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| Institution: | 1Bozhou University, Bozhou, Anhui 236800, P.R.China;2Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China |
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| Abstract: | A strongly nonlinear wave equation was studied. With the functional analytic variational iteration method, firstly, a variational iteration was constructed, and the corresponding Lagrangian multiplicator was solved. Secondly, the initial solitary wave was selected and the iteration method was used to obtain the approximate solution of arbitrary degree accuracy for the solitary wave. This method is easy and feasible for getting approximate solutions to nonlinear wave equations. |
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| Keywords: | wave equation soliton approximate method |
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