| 五阶势MKdV方程的一个不变性 |
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| 引用本文： | 田涌波,南志杰,田畴.五阶势MKdV方程的一个不变性[J].高校应用数学学报(英文版),2006,21(2):152-156. |
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| 作者姓名： | 田涌波 南志杰 田畴 |
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| 作者单位： | Dept. Of Math. , Univ. Of Sci. And Tech. Of China, Hefei 230026, China |
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| 摘 要： | §1Introduction Asweknow,Backlundtransformation1-3]isaverypowerfulwayforfindingnonline evolutionequations.Inrecentdecades,Painlevéanalysis4]hasbecomeaverypopu methodtoobtainBacklundtransformation.Inreference5],fordevelopingthetheory Painlevéanalysis,AndrewPickeringintroduceanewexpansionvariableZwhichsatisf thefollowingRicattiSystem:Zx=1-AZ-BZ2,Zt=-C+(AC+Cx)Z-(D-BC)Z2.(1.Astheapplicationofthenewexpansionvaraible,thepotentialfifth-orderMKd equation(PMKdV5)-vxt+(vxxxxx-10k2v2…
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| 关 键 词： | 五阶势MKdV方程 不变性 Backlund转换 可能路径 |
| 收稿时间： | 2005-10-31 |
An invariance of the potential fifth-order MKdV equation |
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| Tian Yongbo,Nan Zhijie,Tian Chou.An invariance of the potential fifth-order MKdV equation[J].Applied Mathematics A Journal of Chinese Universities,2006,21(2):152-156. |
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| Authors: | Tian Yongbo Nan Zhijie Tian Chou |
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| Institution: | Dept. 0f Math. , Univ. 0f Sci. And Tech. 0f China, Hefei 230026, China |
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| Abstract: | Taking the potential fifth-order MKdV equation as an example to introduce a possible way to construct invariance of a nonlinear PDE. Based on an obtained B(a)cklund transformation of the potential fifth-order MKdV equation and by solving the corresponding Ricatti form Lax pairs, an invariance of the potential fifth-order MKdV equation is digged out. Thus, just by differential and quadrature procedure,the solutions of the potential fifth-order MKdV equation can be obtained from a known solution. |
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| Keywords: | B(a)cklund transformation invariance potential fifth-order MKdV equation |
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