| 一类方程的B■klund变换和精确解 |
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| 引用本文： | 徐传友,潘红.一类方程的B■klund变换和精确解[J].阜阳师范学院学报(自然科学版),2006(4). |
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| 作者姓名： | 徐传友 潘红 |
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| 作者单位： | 阜阳师范学院数学系 安徽阜阳236041 |
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| 摘 要： | 利用B a。ck lund变换完全可积的性质,对偏微分方程uxxx=F~(u,ux,ut)进行了分类,同时利用该方程到非线笥偏微分方程G~(v,vx,vt,…,lxv,…,ltv)=0的B a。ck lund变换,确定了该非线性偏微分方程的具体形式,并讨论了几个确定方程的精确解.
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| 关 键 词： | Ba。cklund变换 精确解 线性坐标变换 |
The B■klund Transformation and Exact Solutions for a Kind of Equation |
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| XU Chuan-you,PAN Hong.The B■klund Transformation and Exact Solutions for a Kind of Equation[J].Journal of Fuyang Teachers College:Natural Science,2006(4). |
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| Authors: | XU Chuan-you PAN Hong |
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| Abstract: | This article has classified the partial differential equation uxxx=~F(u,ux,ut) by the nature of the Bcklundtransformation that it is compeletely integrable,and by means of the Ba。cklund transformation from this equation to the non-linear partial differential equation G~(v,vx,vt,…,xlv,…,tlv)=0,determines this nonlinear partial differential equation con-crete form,and discusses exact solutions to several definite equations. |
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| Keywords: | Ba。cklund transformation exact solution linear coordinate transformation |
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