组合KdV方程的孤立波解与相似解 |
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引用本文: | 潘秀德.组合KdV方程的孤立波解与相似解[J].应用数学和力学,1988,9(3):281-285. |
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作者姓名: | 潘秀德 |
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作者单位: | 浙江大学应用数学系 |
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摘 要: | 本文讨论组合KdV方程孤立波解的一个性质,指出该方程可化为Painlevé方程,并利用相似变量的特殊变换导出一类新的偏微分方程.
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收稿时间: | 1986-12-26 |
Solitary Wave and Similarity Solutions of the Combined KdV Equation |
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Institution: | Zhejiang University, Hangzhou |
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Abstract: | In this paper,we discuss a property of solitary wave solutions of the combined KdV equation.Meantime,we point out that the combined KdV equation can be reduced to the Painleve equation.Furthermore,utilizing special transformations of similarity variables,we derive a kind of new partial differential equations. |
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