| 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. DOI: 10.1007/BF02791352 |
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| 作者姓名： | 田涌波 南志杰 田畴 |
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| 作者单位： | 中国科学技术大学;中国科学技术大学;中国科学技术大学 |
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| 摘 要： | §1Introduction Asweknow,Backlundtransformation[1-3]isaverypowerfulwayforfindingnonline evolutionequations.Inrecentdecades,Painlevéanalysis[4]hasbecomeaverypopu methodtoobtainBacklundtransformation.Inreference[5],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. DOI: 10.1007/BF02791352 |
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| Authors: | Tian Yongbo Nan Zhijie Tian Chou |
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| Affiliation: | 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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