| 一类扰动发展方程近似解 |
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| 引用本文： | 杜增吉,莫嘉琪.一类扰动发展方程近似解[J].物理学报,2012,61(15):155202-155202. |
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| 作者姓名： | 杜增吉 莫嘉琪 |
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| 作者单位： | 1. 江苏师范大学数学科学学院,徐州,221116
2. 安徽师范大学数学系,芜湖,241003 |
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| 基金项目： | 国家自然科学基金(批准号: 11071205, 11101349), 安徽高校省级自然科学研究项目(批准号: KJ2011A135)和江苏省自然科学基金(批准号: BK2011042)资助课题. |
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| 摘 要： | 采用了一个简单而有效的技巧, 研究了一类扰动发展方程. 首先引入求解一个相应典型方程的行波孤波解. 然后利用渐近方法得到了原扰动发展方程的近似解. 利用泛函分析的不动点定理, 指出了近似解级数的收敛性, 并讨论了近似解的精度.
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| 关 键 词： | 非线性 发展方程 渐近方法 |
| 收稿时间： | 2011-11-25 |
Approximae solution for a class of the disturbed evolution equation |
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| Du Zeng-Ji,Mo Jia-Qi.Approximae solution for a class of the disturbed evolution equation[J].Acta Physica Sinica,2012,61(15):155202-155202. |
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| Authors: | Du Zeng-Ji Mo Jia-Qi |
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| Institution: | 1. School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China;2. Department of Mathematics, Anhui Normal University, Wuhu 241003, China |
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| Abstract: | A class of disturbed evolution equation is considered by a simple and valid technique. We first introduce the traveling solitary wave solution of a corresponding typical differential equation, and then use the asymptotic method to obtain the approximate solution for an original disturbed evolution equation. And we point out that the series of approximate solution is convergent and the precision of the approximate solution is discussed by using the fixed point theorem for the functional analysis. |
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| Keywords: | nonlinear evolution equation asymptotic method |
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