| 推广的Painlevé展开及KdV方程的非标准截断解 |
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| 引用本文： | 楼森岳.推广的Painlevé展开及KdV方程的非标准截断解[J].物理学报,1998,47(12):1937-1945. |
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| 作者姓名： | 楼森岳 |
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| 作者单位： | 宁波大学数学物理研究所,宁波 315211 |
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| 基金项目： | 国家自然科学基金(批准号：19975025)和浙江省自然科学基金(批准号：196003)资助的课题. |
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| 摘 要： | 利用奇性流形的任意性，选用不同的展开函数及非标准截断展开于KdV方程，得到了许多用复杂隐函数表示的精确解.
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| 关 键 词： | KdV方程 截断解 奇性流形 |
| 收稿时间： | 1998-02-13 |
EXTENTED PAINLEV? EXPANSION AND NONSTANDARD TRUNCATION SOLUTIONS OF THE KdV EQUATION |
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| LOU SEN-YUE.EXTENTED PAINLEV? EXPANSION AND NONSTANDARD TRUNCATION SOLUTIONS OF THE KdV EQUATION[J].Acta Physica Sinica,1998,47(12):1937-1945. |
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| Authors: | LOU SEN-YUE |
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| Abstract: | In this paper,by means of the arbitrariness of the singularity,we have established a new approach of the Painlevé analysis developed by Weiss,Tabor and Carnevale,which is one of the powerful method to study the nonlinear partial differential equations.Selecting some different expansion functions and nonstandard truncations for the KdV equation,we obtained many exact solutions expressed by some complicated implicit functions. |
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